The Dubliner said that he is a huge fan of the award-winning RTE drama, although admits he's only seen one episode.
The 51-year-old, who is a close friend of show director David Caffrey, said he would be stupid to turn down a part on the successful series if offered.
"Of course I would, I'm no fool," Liam told the Herald.
While he is busy promoting Game Of Thrones around the world, Liam believes that Irish drama is catching up with it US counterparts.
"Irish drama? It's wonderful," he said. "And I am a terrible man, I haven't seen any of it.
"I have only seen one episode of Love/Hate so I am ashamed of myself.
"I've been away so much, but I'm going to find time to sit down with the DVDs," added.
It is a busy time for the actor, who is promoting a new interactive museum for the Game Of Thrones around the world.
Filming on the next season of the Belfast-based show starts in July and Liam also has his latest movie, The Numbers Station with John Cusack, coming out this year.
A native of East Wall in Dublin, Liam has a stellar CV, including lead roles in The Wind That Shakes The Barley and Clash Of The Titans.
He plays former smuggler Davos Seaworth in Game Of Thrones and stars alongside fellow Irish actors, former Love/Hate star Aidan Gillen and Ciaran Hinds.
The down-to-earth star was back in his home town to attend the opening night of Disney's the Lion King in the Bord Gais Energy Theatre on Thursday night.