Fitchett attended Scotch College, Melbourne.[2] He played regularly for Victoria in the 1951/52 Sheffield Shield season and scored his only first-class hundred in an innings against Western Australia at Perth, his 108 coming from seventh position down the order.[3] From his 13 first-class games he scored 589 runs at 32.72 and also took nine wickets. He captained Victoria in two matches.[4] His football career lasted three Victorian Football League seasons from 1950 to 1952, playing 30 games and kicking 14 goals.
Fitchett was an outstanding golfer. Metropolitan Golf Club in Oakleigh South has his name on most honour boards as Mens & Mixed Champion, President and Life Member.