Hatton, who fights Juan Lazcano at a sold-out City of Manchester Stadium on Saturday, said Croke Park had joined Wembley in bidding to host the bout.
He said: "I am not overlooking Lazcano, but if 55,000 see me fight him, imagine what will happen against a bigger name.
"I would love to set the all-time (boxing) record for an outdoor crowd."
Hatton lost his unbeaten record when he suffered a 10th round stoppage against Mayweather in Las Vegas in December, but both sides have strongly hinted at a potential rematch.
Any bout would have some way to go to eclipse the 136,000 crowd at the Azteca Stadium in Mexico in 1993 that saw Julio Cesar Chavez defeat American Greg Haugen, but boxing gate receipt records would certainly be broken at either Croke Park or Wembley Stadium.
Hatton said: "We have looked at Croke Park. That is an arena that could do it. It is something we have our eye on.
"You can't think it could get any better but it does. It never ceases to amaze me as I have never looked at myself as a superstar.
"But my fights have become more than a boxing match. They are events."
The chief executive of Hatton's US promoters Golden Boy, Richard Schaefer, said the Hatton phenomenon was continuing to grow.
"No other fighter in the world can bring 55,000 or more to a soccer stadium. I do believe down the road there is the opportunity for Ricky to break the all-time record."
|Your name: *|
|Your email: *|
|Recepient's email: *|
|Enter code: *|