Park has been tipped to replace Congerton, who remains employed by Celtic, in Glasgow.
Park spent nine years in the position now occupied by the long-time Brendan Rodgers ally, Lee Congerton.
And according to the Daily Express, he could resume the role if Congerton follows Rodgers to Leicester City in the coming weeks and months.
Park was credited with bringing the likes of Virgil van Dijk, Victor Wanyama, Gary Hooper and Moussa Dembele to Celtic Park - many of whom arrived during Lennon's first spell as manager of the Bhoys.
And asked about his former colleague at a press conference on Friday, Lennon said, as quoted by the Scottish Sun:
"He did alright. He didn't do badly.
"Lee is here, I'm working with Lee and it's business as usual.
"I know there's a lot of speculation surrounding Lee. We had a meeting 10 days ago, and he was full on.
"It's a case of maybe watching this space. If he does move on I'm sure there will be a lot of candidates the club have in mind to take over."
Rodgers, who quit Celtic for Leicester last month, first worked with Congerton at Chelsea in 2005 and was responsible for his 2016 arrival in Glasgow, replacing Park.
Park or Congerton - which would you rather have at Celtic?
Have something to tell us about this article?