Varouxakis played in the youth teams at Asteras Chalepas, Chania and OFI Crete, and then moved on to Panserraikos and Apollon Kalamarias, before returning to Chania (where he played professionally in Football League 2), followed by stints at Kissamikos, Panakrotiriakos and Dotieas Agia.
[1] In 2015, he moved to England where he joined Woodford Town in the Spartan South Midlands League, before signing for National League South side Weston-super-Mare.
After only three appearances, he returned to Greece and re-joined Asteras Chalepas, before joining Spatha Kolymvariou and then in February 2019 he joined Charaviakos.
In the 2019-20 season he played for Nafpaktiakos Asteras and AEEK SYN.KA.
Giannis appeared on the TV series 90 Day Fiance: Single Life, dating Chantel Everett.