In April 2021, Kuol joined the
Knox Raiders of the
NBL1 South. In nine games, he averaged 18.2 points and 4.9 rebounds per game. On 13 August 2021, Kuol signed a two-year deal with the
Cairns Taipans of the
National Basketball League. He entered the
2021–22 season having been told he was not guaranteed to be part of the rotation or receive any minutes, but due to numerous injuries to his back-court teammates, he was thrust into the line-up and quickly became one of the Taipans' most important players thanks to his defensive intensity and energy. He subsequently put himself in the Rookie of the Year discussion. On 5 February 2022, he scored 26 points with eight 3-pointers in a 102–94 win over the
Brisbane Bullets, becoming just the third player in Taipans history to record eight 3-pointers in a game. For the season, his 64 3-pointers set an NBL record for most 3-pointers by an Australian rookie and he became the first rookie in NBL history to finish inside the Top 5 for 3-pointers in a season. On 16 May 2022, Kuol recommitted to the Taipans for the
2022–23 season. On 28 February 2023, Kuol signed with
Le Mans of the French
Pro A for the rest of the
2022–23 season. He averaged a career-best 12.7 points, 1.7 assists and 0.5 blocks per game, to go with 3.1 rebounds and 0.7 steals. On 30 April 2024, Kuol signed a three-year deal with the
Sydney Kings. In the
2025–26 NBL season, Kuol re-established himself as one of the competition's top defenders while averaging career-high numbers in field goal percentage (51.7), three-point percentage (44), free-throw percentage (84.6), rebounds (4.2) and steals (1) across 20 games. On 6 January 2026, he was ruled out for the rest of the season with an
ACL injury. He became a free agent following the 2025–26 season. On 20 April 2026, Kuol signed a two-year contract with the
Adelaide 36ers. ==National team career==