Campbell, one of the leading black English footballers of his generation, made the controversial allegations in a new biography, extracts of which were serialised in Britain's Sunday Times last weekend.
The 39-year-old former Tottenham Hotspur and Arsenal defender said: "I believe if I was white, I would have been England captain for more than 10 years — it's as simple as that. I think the FA (England's governing Football Association) wished I was white. I had the credibility, performance-wise to be captain," added Campbell, who led his country on three occasions.
"Not a chance – during my years, not a chance," the Swede told Britain's Daily Telegraph in an interview published on Monday.
"As you know, from my first to my last game, I had David Beckham (as captain) and there were never, ever any discussions at all in the team or in the FA about the captain."
– 'Better candidates at the time' –
Former England striker Ian Wright, like Campbell a prominent black English footballer, also contested his former international team-mate's assertion, insisting there were better candidates to lead the national side at the time.
"I think he's got the credentials to be captain, but to be captain for 10 years? I'm not sure when you see some of the players that were around then," Arsenal great Wright, who played alongside Campbell for England in the late 1990s, told BBC Radio Five.
"I want a captain that goes in and gets you going. Sol has never had the demeanour where he is aggressive on the pitch and put people in their place. People say David Beckham wasn't like that, but he only had to raise his eyebrows to put someone in their place. Maybe Sol could have grown into it but it's down to the manager who he wants. Sol was more than good enough to be a captain but I personally believe there were better candidates at the time."
John Barnes, the former England winger who as a black player in the late 1970s and early 1980s had bananas thrown at him by racist fans and was subjected to abusive taunts from the terraces, also thought Campbell was wide of the mark.
"I don't think Sol would have been captain for 10 years because if you look at who the captains were — Tony Adams and then after that Alan Shearer," Barnes said.
"Then David Beckham became captain and that was a PR exercise for the FA. I don't think necessarily it was because of the colour of Sol's skin."
Sunday saw former FA executive director David Davies, at the organisation when Campbell was a player deny English football chiefs applied any kind of pressure on managers over the choice of national captain.
"I am surprised by this because the reality is that in my time the managers selected the captain," Davies said.
"I never — and to my knowledge nobody else in the FA — ever sought to influence them. My belief is (the allegations) are wrong."
So far the current FA hierarchy have made no public response to Campbell's remarks and British media reports said it was understood they had no plans to comment.