Clarke has been an overwhelming success as Killie boss since arriving in October 2017, having secured a top-six spot in the Premiership last season, and currently has the Ayrshire club third in the table, eight points behind second-placed Rangers.
But Clarke’s deal at Rugby Park expires at the end of next season, in June 2020, and the former West Brom and Reading manager has been linked with taking over manager-less Fulham this summer.
Speaking to The Telegraph of his future plans, he refused to rule out remaining with Kilmarnock but admits he still has unfinished business to deal with in England.
The 55-year-old explained: “I feel unfulfilled in England. I think I’m a decent manager and a very good coach.
“I’ve still got a lot to offer some club who will maybe take a chance on me.
“I’ve been very open with Kilmarnock fans since the day I came in. This isn’t a lifetime project.
“I came in to stabilise the club and push them forward but I’ve said all along that at some stage I want to go back to England.
“My children live there, my grandson is three years old and I miss him every day I’m up here.
“As I sit here now I’ve turned down three possible moves away, and I’ve always stayed at Kilmarnock.
“At some stage I will leave, and in the summer I’ll make a decision on my future, but I certainly won’t rule out staying here.”
Do you think Clarke would be wise to move back to English football, or can he achieve a lot more with his current Kilmarnock side?
What do you think?
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