Wittman, who came to Melbourne from Rosedale, played his football across half forward. He was a member of Melbourne's 1926 premiership and kicked three goals in the Grand Final. Two years later, Wittman kicked a career best season tally of 34 goals, helped by a six goal haul against North Melbourne at the MCG.
Wittman was made a life member of the Melbourne Football Club in 1992. He died in May 1994, the last surviving member of the team that won the 1926 premiership.