Allardyce, once a candidate for the England manager's job, arrived at Ewood Park in 2008 having survived at Newcastle for less than half a season.
Ahead of his team's clash with Fulham, the 55-year-old said: "I would be more suited to Inter Milan or Real Madrid.
"It wouldn't be a problem for me to manage those clubs because I would win the double or the league every time."
Although happy in his current role, Allardyce added: "Give me Manchester United or Chelsea and I would do the same, it wouldn't be a problem.
"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."