Self, disappointed overall in KU's play despite the 77-59 victory, opened his postgame news conference by apologizing to "the K-State team, their program, coaches [and] players," according to The Topeka Capital-Journal.
Calling it "totally classless," Self also addressed Greene's dunk in a postgame radio interview and guaranteed "it will never happen again."
"Brannen Greene, we've put up with him doing some stuff in the past, but that was probably the biggest d--- move I've ever had a player do during a game," Self said in the radio interview, according to the Topeka newspaper. "To dunk the ball like that when the other team -- even their players are going, 'How disrespectful to the game.'
"It certainly showed unbelievably poor sportsmanship."
The dunk came at the end of a game in Lawrence that, despite being a lopsided win, had Self calling the Jayhawks "about as soft as I can remember one of our teams playing."
"I'll be candid," Self said. "They outplayed us. They beat us to loose balls, they outhustled us."
Greene had converted a rare four-point play with two seconds left in the first half to give the Jayhawks a 39-29 lead after knocking down a 3-pointer and being fouled. He finished with eight points in six minutes.
A reserve guard, he was suspended by Self for five games earlier in the season for what Kansas called conduct detrimental to the team.
"I'm so pissed right now that we represented the way we did at the end," Self added in the radio interview, according to The Topeka Capital-Journal.
Kansas managed two offensive rebounds and was outrebounded 36-21 by undersized Kansas State (13-9, 2-7).
"It wasn't a well-played game on our part at all," Self said. "But I think K-State, they came ready to play. I thought their defense was really, really good. I think they shrunk the floor on ball screens, they control the glass. ... For some reason we were still ahead."
Information from The Associated Press was used in this report.