Sunderland confirmed their safety by beating Everton yesterday evening.
Allardyce was not particularly popular during his time at West Ham United, with his style of play being labelled as boring by the supporters.
The 61-year-old is famed for his organised approach, which places a great importance upon defending.
However, Ferdinand feels that Allardyce deserves more praise and after Sunderland confirmed their safety with a win over Everton, he posted a message on Twitter.
Whatever anyone thinks of Big Sam he has built teams over the yrs to be hard to play against...played well tonight too.— Rio Ferdinand (@rioferdy5) May 11, 2016
Allardyce has done a remarkable job at Sunderland since taking over from Dick Advocaat.
The experienced boss looked to have a tough job on his hands when he arrived at the Stadium of Light, but he completely changed the Wearsiders’ fortunes.
Sunderland have become a very difficult side to beat, and they have avoided relegation in style.
Sunderland first beat Chelsea last weekend, before picking up the three points against Everton to relegate both Newcastle United and Norwich City.