The Bhoys found themselves both 2-0 and 3-2 down to Roberto Mancini's men in the Europa League on Thursday night but hit back through a late John Guidetti equaliser.
The goal means Celtic travel to Italy for the second leg still in with a chance of progressing to the last 16 of the competition.
And a key factor in the Hoops' draw was the atmosphere at Celtic Park, with a superb home crowd roaring Deila's side on. To thank them, the Celtic players did a post-match lap of honour.
That drew criticism from McManaman on BT Sport, however, and Deila has hit back at the former Liverpool star.
“Steve McManaman was a big player – he was one of my favourite – but for me this is so stupid to say. One of Celtic’s values is respect," the Celtic boss told reporters
“Sometimes when you lose you have to say congratulations to your opponent and also when you don’t get the result you want and the fans are unbelievable you have to thank them. I think the fans appreciate that as well.
“For me, McManaman saying this is like an 'expert’ having to say something to get some headlines."
Celtic host Hamilaton Academical in the Scottish Premiership this Sunday looking to cement their lead at the top of the table.
They are currently three points above Aberdeen, with the Dons playing on Saturday, meaning Deila's side's lead could be wiped out before Sunday, although they would then have two games in hand.