He began his professional career when he signed with the Greek League club Olympiacos Piraeus in 2010.

[5][6] He moved to the Kazakh club Astana, of the VTB United League, for the 2016–17 season.

On April 18, 2022, he was suspended for the rest of the season, along with teammate Linos Chrysikopoulos, after they both fell out of favor with the club's new head coach Milan Tomić.

On August 25, 2022, Katsivelis signed with Kolossos Rodou, reuniting with both Chrysikopoulos and his Astana coach Ilias Papatheodorou.

In 24 games, he averaged 7.6 points, 3.7 rebounds, 3.8 assists and 1.5 steals, playing around 26 minutes per contest.