As a player, Jia Xiuquan predominately played the majority of his career for Bayi Football Team. During his time at Bayi, he saw them win two league titles, his first title in 1981 and his second in the 1986 league season,. He would also personally win the Chinese Football Association Golden Ball award in 1983, 1984 and 1986. After achieving these honours he was one of the first Chinese players to attract interest from foreign teams. Jia would eventually transfer to YugoslavFirst League team FK Partizan where he moved in 1988 together with Liu Haiguang. They were among the pioneers among Chinese players in Europe, as by then, only Xie Yuxin and Gu Guangming, playing with FC Zwolle (Netherlands) and SV Darmstadt 98 (Germany) respectivelly, had been playing in Europe since 1987.
Jia and Liu came to Belgrade during the winter break of the 1987–88 season. Jia played 10 matches in the league during the second half of the 1987–88 season, with Partizan finishing second that season one point behind their eternal rivals Red Star. He played one of the matches On 26 October 1988, Jia played in the 1988–89 UEFA Cup second round first leg against Italian giants AS Roma, coming on as a substitute for Fadil Vokrri in the 46th minute, which made him the first Chinese footballer to play in the UEFA Cup. Partizan beat Roma 4-2 at home, but later they lost 0-2 in Italian capital, making it an away-goals loss. That domestic season, the 1988–89 Yugoslav First League, the league had a surprising winner, FK Vojvodina, with Partizan finishing in a disappointing 6th position, however the club compensated by winning the Yugoslav Cup that year, with Jia playing in two Cup matches. In the league that season Jia played 6 matches. In total, along with the 11 friendlies where he scored one goal, with Partizan Jia played a total of 34 matches having scored one goal.
Afterward Jia will move to Malaysian club Malaysia Royal Police FA and then Japanese outfit Gamba Osaka before he retired. He played with Gamba Osaka in the inaugural season of the J. League in 1993 and he made 25 league appearances during that season, with Gamba Osaka finishing in 7th place. Jia had joined Gamba Osaka a season earlier, when the club was called Matsushita Electric and played in the 1991–92 Japan Soccer League with the club finishing in 5th place at the end of the season. Jia was the first ever Chinese player to play in the J. League.
After he retired, Bayi Football Team offered Jia a chance to rejoin them and coach them for a short period, however his presence within the team was unable to lift them from a spending much of the season near the bottom of the league. With Shaanxi Guoli, Jia managed a newly formed team starting at the bottom of the Chinese league system and would lead them to promotion to the second tier in the 1997 league season. This caught the attention of the Chinese Football Association and offered him the China national under-17 football team, however his reign with them was uninspired and the team were unable to qualify for any major tournaments.
In 2000 Shanghai Shenhua were willing to give Jia a chance to join them as a trainer before Bayi asked Jia to join them again. Once again he spent much of his time trying to keep Bayi in the top tier of the league system. However despite achieving this he left them at the end of the 2002 league season where they finished a disappointing 13th. Jia would later accept a position for the China national under-23 football team however this was short lived and he resigned in February 2004. Once again he took another training position with Shanghai but because English Head Coach Howard Wilkinson resigned before the start of the beginning of the league season Jia acted as the head coach through the majority of the season, Shanghai ultimately ended the season finishing 10th. In 2005 Jia returned to the Chinese under-23 team as a permanent manager to compete for the Football at the 2008 Summer Olympics – Men's tournament, however at the beginning of the 2008 league season Henan Jianye offered Jia the chance to manage them in the top tier, Jia took this position but had a poor start to the season and was replaced with Acácio Casimiro. In September 2008 Jia was again offered the chance to manage Shanghai Shenhua, this time on a permanent basis and took Shanghai to second in the league. At the end of the 2009 Jia was dismissed by the club again after a disappointing season with the team ranking 5th. Later he was reported to be arrested for receiving bribes during his stint at Chinese youth team.
Though having experiences in managing a few top flight teams and national youth team, Jia's ability in coaching has been widely criticized by his former players and staff. It is believed that he was able to get the positions in Shanghai Shenhua simply because of his solid background in China FA and his willingness to allow chairman Zhu Jun's interference on team management. Arguably he is the most disliked managers ever in Shanghai Shenhua history. After his scandal in match fixing was revealed, he has never appeared in public ever since.