The 21-year-old Italian, who is currently on loan at Stuttgart, started his career with the Serie A club before a move to Old Trafford in 2007.
"Lazio? I went away very young and I have not kept relations with the current management," Macheda is quoted as saying by Sky Sports News.
"I would go back, if there was a possibility in the future."
Macheda is on loan at Stuttgart until the end of the season.