Following the Round of 16 draw win Switzerland on Thursday in which the Hoops drew Juventus, Lawwell said that Platini and other UEFA chiefs were very complimentary of the Glasgow club.
“We have always been respected but it’s more contemporary now. People are saying, ‘Wow, Celtic are back’,” he said.
“Everybody I spoke to in Nyon – from UEFA, the clubs – was absolutely delighted to see us back.
“I spoke to Michel Platini and he told me, ‘Every club wants to play Celtic... for the right reasons.’
“I never spoke to Michel after we drew Juventus. He might have a different view now.”