Jones took a cut on his £60,000-aweek wages and Sunderland agreed to fund some of the rest themselves to get him off the books.
Bruce talked about him needing to "re-ignite" his career.
"I don't think I have to re-ignite anything," Jones told the Daily Mail.
"I just have to get back scoring and being who I am, that's all. Whatever he said is in the past, I'm on a new chapter.
"You can be the best player in the world but sometimes you have no confidence. You're not able to apply that or things aren't going right in your environment.
"Everyone has their potential but it's still to be seen what I can do. I'm 26 next month, not 35, so I have my best years in front of me. Sometimes I maybe don't give the performance I should but no-one gives it every single time.
"Sometimes I give the performance and people don't see it. That's football. Everyone has their opinions.
"We have a saying in Trinidad. After one time is a next. The fact of the matter is that circumstances didn't allow me to be at the places I was supposed to be 18 months ago, whatever they are.
"Those opportunities never go away. There is always a time when they come around again. We'll see what happens. Who knows, after this season I could be there again. We just have to live for today and hope for tomorrow.
"To myself I don't have a lot to prove, I have a lot to do. For a lot of people I have a lot to prove but I'm not really focussing on the other people. No matter what you do in life you can't please everyone.
"I'm different. I'm not British, I'm not used to hustling and worrying about everything that passes. If it's cold I'm not used to worrying about that. At the end of the day there's nothing you can do about that situation, you know."