Allardyce and Mark Hughes cross swords on Saturday as managers of mid-ranking clubs, Blackburn and Fulham respectively, with the Rovers boss denying that both men have found their true level.
Hughes was sacked by Manchester City last season while Allardyce's spell in charge of Newcastle lasted less than half a campaign.
Allardyce insisted however: "I'm not suited to Bolton or Blackburn, I would be more suited to Inter Milan or Real Madrid.
"It wouldn't be a problem to me to go and manage those clubs because I would win the double or the league every time.
"Give me Manchester United or Chelsea and I would do the same, it wouldn't be a problem.
"It's not where I'm suited to, it's just where I've been for most of the time.
"It's not a problem to take me into the higher reaches of the Champions League or Premier League and would make my job a lot easier in winning it."
Hughes has made a good start at Fulham, one of five teams still unbeaten in the top flight, and the trip to Ewood Park will be a return to old stomping grounds where he spent three seasons as a player and four years as manager.
Allardyce believes the Welshman was hard done-by at City, saying: "His Manchester City reign obviously was not long enough. A little bit like me at Newcastle, but I didn't last quite as long as Sparky though.
"He was given the chance and unfortunately at that stage of his career they decided to have a change.
"You look back on it and he'll be very disappointed because they only lost two games I think. But that is the way it is sometimes, there's a perception that other people can do better than you, but often the reality is not the case.
"He decided that Fulham was the place for him, he's taken over what he's described in his own words as a very good team and he's started where they left off last season."
Allardyce does believe Fulham will feel the loss of striker Bobby Zamora, who suffered a broken leg last week.
He added: "Bobby Zamora was the most improved player last year without a shadow of a doubt.
"He gets them into a European final, he gets himself in the England squad and all of a sudden he becomes an outstanding centre forward."
Ryan Nelsen and Michel Salgado are doubts for Blackburn after both limped off against Manchester City last weekend.
Nelsen had a kick to the instep and Salgado a thigh injury and both will have fitness tests just before the match. Keith Andrews (groin) remains sidelined.