Bitton began his playing career at Hapoel Tel Aviv’s Youth Department before moving to Sektzia Nes Ziona in 2010/11 and where he made his senior debut and 89 appearances in all competitions. After two seasons at Nes Ziona, Bitton joined Hapoel Nazareth Ilit who later changed its’ name to Nof Hagalil and made 37 appearances in all competitions. Ahead of the 2013/14 season, Bitton moved to Hapoel Be’ersheva and his second season scored his debut senior goal in a league match against Ironi Kiryat Shmona (2.12.14).

Bitton played a key role in Be’ersheva three successive league championships (15/16, 16/17 and 17/18) as to his personal trophy cabinet were also added a SuperCup medal (17/18) and a State Cup medal (19/20) in addition to appearances in the Europa League group stage.