Reid managed the Black Cats between 1995 and 2002, but admits he is interested in replacing Roy Keane who left the club last week.
“I would be interested,” Reid told the Daily Mail. “Everyone aspires to work in England. It’s the place to be. The players here dream about it and I know I won’t be working abroad forever.
“There is a clause in my contract which allows me to speak to English clubs if they show interest, so that would be up to Niall Quinn.
“I do know Niall well. We speak occasionally and he invited me to their first home game of the season against Liverpool.
“I had two seventh-place finishes, which I think were the best since the war, before coming fourth from bottom.
“My being linked with the job may not please all the fans, but I left the club in a better state than when I arrived and I’d be confident of success again.”
He added: “Sam Allardyce has rightly been mentioned, too, and I’ve been talked of as a possible assistant to him, but that’s disrespectful to Sam. Whoever is manager needs to make their own choices.
“The other option mentioned in the press was a role until the end of the season, but that would be difficult for me with the job I have.”