Ric's daughter is the current "SmackDown" Women's Champion -- and Ric tells TMZ Sports he knows his daughter wants a shot at the newest star on the roster.

Charlotte has previously told TMZ Sports when it comes to Rousey -- "She knows where to find me."

The good news for Rousey ... Ric and his pal Hulk Hogan are big fans. They love the fact she's a TRUE wrestling fan and were impressed with her tribute to Rowdy Roddy Piper.

Speaking of legends ... we also asked Hulk and Ric to name the 4 people who belong on the Mount Rushmore of Pro Wrestling.

Spoiler alert: here are some names that DIDN'T make the cut:

The Rock, Ultimate Warrior, Randy Savage, Undertaker, John Cena, Triple H, Shawn Michaels and Sting.