The Merseyside club reportedly turned down approaches from Premier League rivals for Kelleher’s services this summer.
“Sometimes from the outside looking in, it looks like that’s 100% my decision but at times it’s not always in my hands,” he added.
“It’s been reported that Liverpool have rejected a few bids as well. My ambition is clear that I think I’m good enough and I want to go out and prove it.”
For his country, injury to Southampton’s Gavin Bazunu has led to Kelleher’s promotion to the number one jersey.
The 25-year-old performed well in the 2-0 defeat to England at Aviva Stadium on Saturday, but took little satisfaction from his showing given the result in what was Heimir Hallgrimsson first game in charge.
“I had a few saves to make and was able to help the team but it’s not about that , it’s about the team and getting the right results for the country.
“Personally, happy with my own performance but we need to perform as a team and it’s a big game on Tuesday.”