The Republic of Ireland international, who had a transfer request rejected by Norwich City earlier this week, is interested in working under his former manager again at Villa Park
Hoolahan has only started five games under Chris Hughton in the Premier League this season and confirmed on Wednesday that he had submitted a transfer request, which was rejected by the Carrow Road outfit.
The 31-year-old has been linked with a move to Villa Park after spending three seasons playing under Lambert at Norwich, and while Hoolahan is interested in joining up with his former manager, he insists there has been no contact with Villa.
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"I played some of the best football of my career under him and it was Paul who converted me from a winger to playing in the hole behind the striker.
"At my age, I need to be playing regular first-team football and that is not happening at Norwich."
The Republic of Ireland international has become frustrated by the lack of opportunities at Carrow Road and voiced his disappointment that his request to leave had been rejected.
"It's a shame it has got to this," he added. "I tried to do things sensibly and quietly because I've not been involved whatsoever.
"But I was told the club do not want to sell me. I don't really know what will happen next, hopefully there will be more conversations to resolve the matter.
"There has not been any big row or anything like that. The club know my wishes and that is as far as it has gone.
"I want a new challenge and a fresh start."