The former Manchester City and Aston Villa defender is currently a free agent and after enduring an injury-fraught season, is keen to secure a new club this summer
Dunne has not played competitively since Republic of Ireland's ill-fated Euro 2012 campaign because of a series of hip and groin injuries, but is set to feature in Dublin against Georgia on Sunday.
The 33-year-old's contract expires this summer and he has been informed that he is surplus to requirements at Villa Park, but he is adamant he will find another club.
"I have no axe to grind with Villa," Dunne told reporters. "They treated me well, spent a lot of money on my medical needs and made their decision once my contract was up.
"It was on the cards. Nothing surprised me about that. Paul wished me well. He's a fair man.
"I am not worried and won't take any old offer that comes my way. I can pick and choose and see what is best for me. I won't rush into anything."
Dunne admits the length of his lay-off proved hard to deal with mentally, but insists it has made him all the more determined to make the most of his recovery.
"The entire year was very hard, really frustrating," he added. "I kept being told I would be back playing in six weeks. Three times I was told that.
"If someone had told me at the start of the season that I would be out for nine months, I could have handled that.
"But it was setback after setback and I was gearing myself up for big matches and then breaking down with a recurrence of the injury.
"I was annoyed about not making those games and felt like a failure."