Coach Frank Martin announced the departure in a statement before Saturday's home game against Texas Tech.
The 6-foot-10 Asprilla started 13 games and averaged 4.9 points and 4.9 rebounds in his first season with the Wildcats. He had transferred from Florida International.
Martin called it a "mutual decision" and said he expects Asprilla to "explore professional playing opportunities in his home country."
He is a native of Villavicencio, Colombia.
Martin had no further explanation after the game.
"I found out last night," the coach said. "I don't know what to tell you."