The striker is a hugely popular player with the Welsh club following their successful FX documentary series 'Welcome To Wrexham'.
However, Palmer found himself at the centre of a media storm when comedic actor, Reynolds, made a joke at Palmer's expense.
It came as Reynolds' wife, Blake Lively, attended a match at the Racecourse Ground with the Deadpool actor making a typically deadpan joke at the striker's expense.
During an appearance on the Fearless in Devotion podcast, Reynolds said: "Every time we've come as a family we've come over we have a walk down to the dressing room.
"Ollie [Palmer] is always the first one to walk out, completely shirtless, to have a conversation with my wife.
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"I'm like Ollie put a f***ing shirt on and come back out to speak to her like a gentleman."
While the comment was clearly intended as a joke, headlines around the world suggested that Reynolds was unhappy with the 31-year-old, leading to an apology from the Hollywood superstar.
Speaking on The Sports Breakfast, Palmer said: "Most people do take their shirts off after the game for a shower, I just didn't put one back on when I saw them both!
"He messaged me after that and said, 'I'm so sorry' because Ryan being Ryan, he made a joke of a regular scenario in our lives and it went all the way to The Sun, the New York Post, People Magazine - 'Ryan Reynolds blasts Ollie Palmer'.
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"It's like, can people not take a joke? They just spun this narrative on it.
"It was a complete joke and that news clip with a certain title went all around the world which was a bit weird, but it's one of those things now I think.
"We've become accustomed to it. I don't think he minds anyway."