Allardyce, the former Bolton and Newcastle manager, believes he hasn't been given a good enough chance to shine at bigger clubs.
He said: 'I'm not suited to Bolton or Blackburn, I would be more suited to Inter Milan or Real Madrid.
Confident: Blackburn boss Sam Allardyce believes he would win the league every year with Manchester United
'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.'
Blackburn picked up a fine draw at Manchester City last weekend, and will hope to build on that when they entertain Fulham on Saturday. Opposing manager Mark Hughes is another that Allardyce feels hasn't been given enough time.
Tough battle: Blackburn's Ryan Nelson battles with Manchester City's Carlos Tevez last weekend
Allardyce said: '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.'
Hughes backs Allardyce to replace Capello in England job in 2012Big Sam blasts Wenger and accuses rival of putting pressure on refereesBLACKBURN ROVERS FC