The Blues were in the market for a new right-back towards the end of the summer and they ultimately signed Italy international Davide Zappacosta from Torino.
However, Paris Saint-Germain defender Meunier has now revealed the west London club tried to sign him on deadline day, but Les Parisiens turned the bid down as it would have left them with just one recognised right-back in their squad.
"The last day of the transfer period they (Chelsea) made an offer to Paris (Saint-Germain), but I know (the answer) was no," Meunier told Sky Sports. "The club didn't want to sell me because we have two right-backs, with Dani Alves and myself, it was difficult to sell one of us."
The 26-year-old insists he never considered the possibility of moving to Stamford Bridge once PSG told him there was no chance he would be allowed to go.
He added: "I didn't really think about it [joining Chelsea] because they called me in to tell me, 'You will not move, so don't think about Chelsea or any other club. You will stay in Paris and we are counting on you for the season'."