The Blues moved quickly to bring the French midfielder to Stamford Bridge after he helped Leicester win the Premier League title last season.
Kante has continued his superb form for the Blues after earning plenty of new admirers for his displays last term.
The midfielder has been ever present in the Chelsea side and has helped Antonio Conte’s men establish themselves as the firm favourites to win the Premier League title this season.
And Giggs admits that he wanted Manchester United to try and sign Kante from Leicester last summer.
Speaking to The Telegraph, Giggs said: “All I can say is that last season I hoped United would sign Kante, and in the end his buy-out clause looked very good value at £29m.
“Kante hunts the ball down.
“He is so quick to cover space, get to the ball and make the tackle.
“I have played against that kind of opponent over the years.
“They are a nightmare – you cannot shake them off.”
Manchester United are currently gearing up for their crunch Premier League clash against Kante’s former side Leicester City at the King Power Stadium on Sunday afternoon.
The Red Devils are currently 17 points behind leaders Chelsea in the race for the title.
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