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The former third baseman said he might want to manage in the future, but he isn't interested right now.
"I have always thought in the future something on the field would really interest me, but I think if you're going to do it right you really need to dedicate a lot of time," he said. "There is time that needs to be dedicated to do the job right. For me in my life, in my situation right now, I'm really enjoying the freedom that I have. I think my baseball juices will be flowing sometime in the future, but for my family, where I am right now, it would be tough."
The 2007 World Series MVP said he would be "extremely flattered" if he received a call from a team interested in his services, but "it wouldn't be for me right now."
The Red Sox are looking to replace Bobby Valentine, who was fired the day after the season ended earlier this month. The Red Sox went 69-93 this season -- the team's worst finish since 1965 -- in Valentine's only year as manager.
Lowell played 13 years in the MLB, including five with the Red Sox at the end of his career. He batted .324 in an MVP-caliber season in 2007, which ended with the Red Sox's second World Series trophy in four years.