The former France forward played 10 games for Tottenham in 2012, in a distinguished Barclays Premier League career that also included stints at Fulham, Manchester United and Everton.
Saha admitted he was surprised at Tottenham's decision to dismiss Portuguese boss Villas-Boas on Monday following Spurs' 5-0 home capitulation to Liverpool in the league the previous day.
Fabio Capello has been installed as the early favourite to replace Villas-Boas, especially after the former England boss attended Sunday's Liverpool clash at White Hart Lane.
Saha expects Spurs to show a reaction for Wednesday's Capital One Cup quarter-final tie with West Ham but insists Tottenham need a period of stability, pointing to the success enjoyed by his old club United under their former manager Sir Alex Ferguson who retired in May after almost 27 years in charge.
Saha said: "(Sacking Villas-Boas) will have a big impact because these changes always seem to bring new challenges to players, and a new way of playing.
"Maybe the new manager will bring in players who have not been playing since the start of the season.
"Maybe that will change things around and I think that's what the chairman (Daniel Levy) has done, he's tried to shake things up, and maybe it will work.
"You could be surprised because in this world stability and consistency is something that is really hard to get.
"But it brings success, and you see that a team like Manchester United have done that.
"They backed their manager for the last 20 years, and it brings confidence to a manager to know that he's manager for more than two years.
"They have young players, they are talented players, but they need time to have a style of play, not changing every two or three years.
"It's not the best way to work but a big club with big ambition will always look for a quick result, and that's looking for wins week on week.
"When it does not happen you try to find a solution, right now the only one solution you get is to sack the manager."