Absent skipper Terry still got to lift the trophy, sharing the duties with Lampard, and afterwards he called for Di Matteo to be given the job on a full-time basis.
"Robbie has been fantastic since he came in," he told ITV 1.
"You look at that trophy. That's certainly what we've been waiting for, what the owner's been waiting for, what the owner was in tears for.
"He's strived for this, he's pumped an awful lot of money into this football club trying top achieve that. Tonight we've done that and Robbie deserves a lot of credit for that."
On the Italian's chances of becoming manager permanently, he added: "We hope so. He's been fantastic. He can't do any more than he's done. To win the FA Cup and the Champions League, he can't do more than that."
The England international also added on Sky Sports 1, that he was grateful to UEFA for allowing him to carry the cup.
"It means the world to me," he said.
"It was a great touch from Frank and a really nice gesture from UEFA.
"It was a really unfortunate situation I put myself in, but on nights like this you have to be involved."