"I was away from here because I needed some time to think, it was a hard situation", Mahrez told Sky Sports.
Leicester ran a feature on Mahrez on their website on Wednesday looking at the impact of the player this season, suggesting the Facebook post was a hoax.
The Algerian worldwide had looked set on a transfer to Manchester City in January, before the Sky Blues backed away from a deal during the final days of the window.
"Manchester City is a good move for everyone, but it's the past". "I'm not saying I'm coming or going".
"We will see in the summer if something comes but at the moment I'm a Leicester City player and I'm good here".
He said he will not reconsider his future at the club until the end of the season.More news: Extremists Killed in Attack on French Embassy in Burkina Faso
Leicester City confirmed on Wednesday that star forward Riyad Mahrez is not quitting football after a freaky post appeared on the player's Facebook page announcing he was retiring. "It was a hard situation but we moved on, everyone - the club, players, me".
'To be honest, everyone has been very good and it's in the past now.
'Like I said, it's the past, I really don't want to talk about this because it's behind me, if I start taking about this its coming back to the transfer window and now I'm moving forward, trying to do my best for the team'. It was up to me to keep him here for the club, and for me to try to sort it out, protect Riyad and the club.
In an interview with Sky Sports on Thursday, Mahrez admitted he is still happy to be a Leicester player after his failed deadline day move.
"Probably his absence hurt us a bit, with results and confidence, but we are pleased to have him back because he is a top player", the French tactician said, as quoted by the Daily Star.
"I can confirm that Riyad's page was hacked and that the post is not genuine", a Foxes spokesman told Omnisport.