The Deadpool actor, 45, told reporters he was hoping to bring friend and comedian Will Ferrell to watch a match.
He said: “He’s a pal, I just finished working with him, huge, huge football fan so I would love to see Will Ferrell at the Racecourse.”
He said his long term plans for the team were to “win, win, win” and said he had hoped for the team to reach Premier League.
He then apologised after being told he was live on television when he added: “Unless there’s a meteor in which case we’re all f*****.”
The pair, who trained with players on the pitch on Thursday morning, appeared to have embraced Welsh culture, with McElhenney talking of his love for the Welsh national anthem, trying out a few Welsh phrases and impressing with his pronunciation of the country’s longest place name.
They said their families and friends have also become Wrexham supporters.
Reynolds said his children, with wife Blake Lively, were “head to toe” in Wrexham kits, “whether they like it or not”.
The duo attended their first match on Tuesday, when the club played away at Maidenhead
Reynolds said: “Being at a football game like that and being as invested as we are was absolute torture.
“Normally I’m only heckled in my home so that was sort of new for me and sort of weirdly thrilling.”
He said he had been attracted to the “Cinderella aspect” of the club, which is also set to be the focus of a docuseries being created.
Reynolds said: “There’s an underdog story there that is powerful and potent
The pair made headlines after taking 100% ownership of the fifth tier Red Dragons in February.
They took over from the Wrexham Supporters’ Trust and made a £2 million investment under the terms of the deal.