Saha signed for Manchester United from Fulham in January 2004, arriving for a fee of £12.85million.
The Frenchman enjoyed a fine debut for the club, scoring a stunning free-kick in a 2-1 victory over Southampton at Old Trafford.
He then followed that up with a brace away at Everton, in a game where Ruud van Nistelrooy was also at the double.
But while three goals in two games represented a solid start for Saha at Manchester United, the 39-year-old says Ferguson laid down the law to him during that thriller on Merseyside.
“Once he actually killed me in front of everybody,” Saha told BetStars.
“It was my second game at the club. We were playing at a special ground at Goodison Park, we were freeing up so I scored two goals and I was feeling good about my situation.
“But it was the winning mentality of Alex Ferguson, I missed two sitters and I think Ruud Van Nistelrooy missed one as well.
“We should have been like 6-0 up so he actually destroyed me.
“He said I’ve joined a big club now so I have to step up and realise that I shouldn’t have missed those chances.
“I was really surprised because when I heard the Scottish accent, I couldn’t really understand. But I understood when we finished 4-3 because of a comeback and the spirit of Goodison.”
Saha went on to leave United for Everton in 2008 after the arrival of Carlos Tevez forced him down Ferguson’s pecking order.
He spent four years at Goodison Park, scoring 35 goals from 115 appearances.
Louis Saha has made the Big Call with online betting site BetStars. He is backing Manchester United to beat Everton 2-1. #Callit at https://www.betstars.uk/sites/football/manutd-everton/