By Adrian Warren

Australian boxing great and former world champion Kostya Tszyu has urged Danny Green to hang up his gloves after losing his IBO cruiserweight crown to American Antonio Tarver.

Tszyu, a four-time world junior welterweight champion, told Fox Sports News he believed Green had nothing to gain by seeking a rematch with Tarver, having taken the 42-year-old lightly in the lead-up to Wednesday night's bout at Sydney Entertainment Centre.

"I think no...(there's no need) for Danny to prove anything. He did what he did for his career," Tszyu said on Thursday.

"I think he took the fight too lightly. He felt he's going to be walking through the tunnel...it's going to be an easy fight for him."

Tszyu's comments came as Green's trainer, Angelo Hyder, moved to douse speculation that his 35-year-old charge was considering calling it quits.

Hyder said Green "will definitely keep on fighting" and would likely take Tarver up on his offer of a rematch.

"I think there will be nothing surer than wanting a rematch with Tarver," he said.

"That's what he'd want more than anything, but let's see what happens."

Tarver, who controlled most of the bout, said Green was worthy of a rematch but, as the champion, it would be on his terms and could be held in the United States.

He wasn't sure whether a rematch would be his next fight and said Green needed time to recuperate after the loss and didn't speculate on whether the Australian should retire.

"That's up to Danny Green. I can't tell a fighter when and where to fight," Tarver said.

"But I know one thing. When I fight fighters, they are never the same and I take something out of them and I don't know where Danny is going to be at after this.

"I don't know if Danny wants to step back in there right away with me. I don't know what he can look at this fight and say what he could have did differently.

"Sometimes, you've just got to say the best man won and call it a day but, if he wants a rematch, I'll oblige because that's what the contract states."

Earlier on Thursday, Fox Sports boxing commentator Paul Upham said Green looked uncomfortable fighting against a left-hander and should seek out Tszyu - who had repeated success against southpaws during his career - as a consultant if he was to box on.

Hyder didn't want to comment on the specifics of where things went wrong for Green, but acknowledged Tarver's superiority.

"Tarver is a great fighter and, to beat a great fighter, you've got to be completely on your game," Hyder said.

"Greeny was not quite on his game on the night and Tarver was at his best."

Tarver said he would be prepared to fight abroad again, and mentioned the possibility of going to Russia to fight Tszyu's charge Denis Lebedev.

Tszyu, who was at Wednesday night's fight, said he would definitely be interested in matching Lebedev with Tarver.