Moise Kean cancelled out Romain Hamouma’s opener in the first half but PSG were unable to find the net again.
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Leicester did not disclose the transfer fee but British media reported the club paid around 30 million pounds ($38.75 million) for the 19-year-old.
A Moussa Dembele brace and a string of fine saves by Anthony Lopes gave them victory
The Frenchman was sacked by the Foxes in February, and returns to management in Ligue 1 for the first time since he left Nice in 2016.
As part of the deal, Saliba will return to the Ligue 1 side next season on loan before heading to the Emirates Stadium in 2020.
The Red Devils will face a team which currently sits eighth in Ligue 1 and have won less than half of their 17 domestic fixtures
Lille has managed one win, one draw and five loses, leaving them rock bottom on the French League table