The Nigeria striker has joined Celtic as a free agent after his contract with Sevilla was terminated by mutual consent on Monday.
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Rogers and Kelechi worked together at Leicester City and the Hoops manager said: "He is such a talented player, with great ability, athleticism and work-rate.
"He has great experience and he is right in his peak years, so he can be a great signing for us. I am sure he will make a big contribution to the team."
Kelechi has penned a 12-month deal with Celtic with an option for another year.