The French international was linked with Arsenal and Liverpool in June and July, before he eventually decided to stay put and signed a new contract with Lyon.
But he's now confirmed that Arsenal and Liverpool both made approaches to sound out his interest in moving to the Premier League before he extended his stay in Ligue 1.
Speaking to French newspaper Le 10 Sport, Grenier said: "Arsenal and Liverpool? There was contact.
"After that, it remains private. I am with Lyon and glad to be here. The rest we will see later.
"My goal is to be as efficient as possible with the OL, to fufill the objectives of the club as well as my personal goals.
"For now, I'm focused on Olympique Lyonnais."
But Grenier admitted he was flattered to be approached by two 'big clubs' like the Gunners and Liverpool.
"When big European clubs come to the Stade Gerland to watch you, it's very flattering," continued Grenier.
"[But] Lyon remain one of the biggest clubs in Europe, we must not forget.
"Lyon are still part of the larger [group of] French teams. We are in transition years, the new stadium will happen, Lyon can become the biggest French club."
Lyon have struggled this term and currently sit tenth in Ligue 1. Grenier has made 15 appearances in the league for the club, scoring twice and providing four assists.
Grenier has received three French caps and most recently was an unused substitute for the national team during their 3-0 win over Ukraine in Paris last month in the World Cup play-off showdown.