Blues boss Frank Lampard is currently under pressure as his side have won just one of their last six Premier League matches, which has seen them slip down to ninth in the table, 10 points behind leaders Manchester United.
However, Grant, who managed Chelsea on a caretaker basis during the 2007-08 campaign, has dismissed rumours stating that he could return to Stamford Bridge.
"I read the links in the media connecting me with a return to Chelsea. I have so many positive messages from Chelsea fans but I must say I didn't receive any official approach from the club," Grant said on Instagram.
"I can repeat only what I said lately about the situation at Chelsea. Be strong and look for solution! What everybody needs now is time. It's good for Frank and I believe that he will do the job well and is good for the club. Good luck to everybody."
Chelsea face a trip to London rivals Fulham in the Premier League on Saturday, before heading to the King Power Stadium where they will take on third-placed Leicester City on Tuesday evening. body check tags ::