Born in Amsterdam to Ghanaian parents, Acolatse joined the Ajax Youth Academy in 2003. He played for the under-19 Ajax A1 team during the 2012–13 season. On 27 April 2012, Acolatse signed a three-year contract with Ajax, tying him down to the club until 30 June 2015. He made his professional debut for the reserves team Jong Ajax, starting in a 4–0 away defeat to FC Emmen in Eerste Divisie on 17 January 2014. He was substituted off in the 60th minute for Vincent Vermeij.