The star of "It's Always Sunny in Philadelphia," along with his Marvel super-hero co-owner Ryan Reynolds, helped to raise the profile of the Welsh club through their docu-series "Welcome to Wrexham," earning the team legions of U.S. fans.
"We're looking forward to our tour to America in the summer," Manager Phil Parkinson said in a statement.
"The club has had a small taste of the support we have over there, and it will be great to take our first-team players over to see that support first-hand."
The lovable underdogs secured a fairytale return to the English Football League in April after a 15-year absence and the Philadelphia match is part of a victory lap planned in the U.S.
They play Chelsea in front of a sold-out crowd on July 19 in Chapel Hill, North Carolina, before facing LA Galaxy II in Los Angeles July 22 and Manchester United on July 25 at San Diego's Snapdragon Stadium.