Țicu is a youth product of
Petrolul Ploiești, and made his senior debut for the club in a
Liga III game against
Flacăra Moreni on 30 March 2018. On 31 March 2023, he scored his first Liga I goal—and the only of the match—in an away victory over
FC U Craiova. He was an undisputed starter during the
2022–23 season, totalling 38 league matches. On 13 September 2023, Petrolul Ploiești announced that Țicu signed a contract extension lasting until 2026. Eleven days later, he committed a
foul which left
Hermannstadt player
Dragoș Iancu with an
ankle fracture and was handed a 16-match suspension, later reduced in half. ==International career==