[1] Born in Kruševac,[2] Katić was a member of the Trstenik PPT academy, formed in the structure of Prva Petoletka industry.
[3][4] Later he moved to the Jagodina's youth system, passing all categories with the club, usually playing with older generation.
[5] Katić joined the first squad in second half of the 2017–18 Serbian First League campaign as a third choice, behind Stefan Stojanović and Aleksa Milojević.
At the age of 16 years and 57 days, Katić made his professional debut as a goalkeeper replacing Stefan Stojanović in 86th minute of the match against Sloboda Užice on 15 April 2018.
[6] In the next fixture match, against Temnić, Katić also joined the game in second half.