Campbell revived his career at Arsenal during the second half of last season after rejoining the Gunners on a short-term contract, which has now expired.
He told ESPN Soccernet: "I wouldn't mind being out in South Africa with the England team.
"The way I have been playing for Arsenal, don't you think I should be? I do. For sure.
"Regrets? You could say that. I regret the fact that the England camp didn't think of me. I would have put my heart and soul into playing for my country again.
"I played my heart out for Arsenal again and thought it was worthy of a chance with England. It never came.
"Surely, you pick people in the groove, and I was back in the groove, and I was fit.
"Instead, Capello picked a couple of half-fit players. It fell right for them. Not for me."