Several North American celebrities have invested in English Football League and Premier League clubs in recent years, with Ryan Reynolds and Rob McElhenney's ownership of Wrexham the most notable.
NFL legend and seven-time Super Bowl champion Tom Brady became a minority owner of Birmingham City last season and former NFL defensive end JJ Watt became a shareholder at Burnley in May 2023, while actor and producer Michael B Jordan invested in Bournemouth at the end of 2022.
American golfers Jordan Spieth and Justin Thomas, NBA All-Star Russell Westbrook and actor Will Ferrell are also minority stakeholders in Leeds United.
Speaking to Talksport on Tuesday, Palios continued: "At the moment, if you're looking at that particular group of people, the US market is very attractive.
"You've got the example of Wrexham recently, you've got the World Cup coming up there, you've got 85 million Americans watch English football.
"There's actually a gap in the market which just happens to coincide with where we are in terms of development and taking it to the next stage."
Since Palios and his wife bought a controlling interest in Tranmere from former owner Peter Johnson, the club have been relegated to the National League but bounced back to win promotion through to League One.
However, they were relegated back to League Two during the Covid-interrupted 2019-20 season and have remained there since, sitting 16th so far this season.
Palios, 71, made more than 280 appearances in two spells with Tranmere during his playing career.