The Hollywood actor purchased the Welsh football club with Rob McElhenney in 2021 and has overseen the club's rise through two divisions – although his ultimate goal would be to see the team competing in the top flight of the English game in a decade from now.
Reynolds told the 'Men In Blazers' podcast: "Ten years from now, we would be morons not to want to see this club in the Premier League. But also be unique in that everything about the place stayed true to what it originally was. That's the perfect scenario.
"It should be a wild adventure. If it was all predictable and we knew exactly what was going to happen, this would be miserable. You can't understand happiness and joy and elation you understand what it feels like to fail and be miserable.
"Thankfully this sport offers all of those emotions inside each and every f****** minute of a match. You get to go on that ride."
Reynolds also hopes that Wrexham could reach the Champions League and play against European giants such as Real Madrid.
The 'Deadpool' actor said: "Can you imagine! Could you imagine that feeling! That's why it will always be special, because you can – on some level – go, 'Well, we're in League One, we've gone up twice already, and I believe in miracles'.
"Rob really pushed that moral on me because I happen to have that kinship to the Brits in the sense that we look at things through a lens that is sometimes a little dire. I tend to undersell things.
"I remember Rob early on was like, 'Of course we want to go to the Premier League'. It eventually got into my cells and I was like, 'Hell yeah we want that'. Why wouldn't we want that? Who wouldn't want that? And we can kind of see it."