Rijkaard, Eriksson and, most recently, Brian Laudrup and Roberto Mancini have all been linked with a possible move to Chelsea with the likes of Luiz Felipe Scolari and Mark Hughes in the running.
Despite losing just two Premier League games while in charge, Grant attracted criticism from fans who claimed his team lacked style.
He was also criticised for losing February's League Cup final against Tottenham.
Grant joined Chelsea last summer from Portsmouth as director of football, a decision which apparently did not please Mourinho.
Mourinho was later dismissed after their 1-1 draw with Rosenborg at Stamford Bridge in their opening Champions League game.
Grant and Mourinho did not always see eye-to-eye
Grant, who had never managed a club in England, was asked to take over and on 13 December 2007 signed a four-year contract.
Both Kenyon and chairman Bruce Buck paved the way for change by insisting that Chelsea's performance this season was simply "not good enough".
Buck said: "We have very high expectations at Chelsea and a couple of second place finishes is just not good enough for us. "So although we never would have thought in September when Jose Mourinho left that we would be able to make it into a Champions League final as we did - and that is fantastic - Chelsea are here to win trophies.
"So although it was an excellent season, we are still disappointed."
A series of discussions finally resolved Grant's future and it is understood the Israeli said his farewells to the players on Friday - telling them it had been a 'privilege' to manage the team.
Ironically, Mourinho has yet to take up a new job since his dismissal by Chelsea but he said only this week that he expects to be back in football in June.
His odds for a dramatic and unexpected return to Chelsea were cut from 20/1 down to 8/1 by English bookmakers late on Saturday.
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