The former US coach, now in charge of French second division side Le Havre, spoke with Sirius XM earlier this year.
Bradley said: "When I have the chance to observe different managers, the ones that do good work, I mention Mauricio Pochettino, Jurgen Klopp and Thomas Tuchel who took over from Klopp at Dortmund. I will tell you what, maybe I'm stupid, but I think I'm a manager in and around that level.
"We haven't even talked about the Guardiolas and Ancelottis.
"I'm not saying I'm better than these guys, I haven't had those types of opportunities.
"But I think people that have played for me have always felt that the experience in the team was different.
"I believe in my work but I don't go around every day complaining. I roll up my sleeves and try to show people what I'm about and see what happens."