Crespo is now a free agent and following former Chelsea manager Jose Mourinho's appointment as Inter coach, he is reportedly keen to sign a permanent deal with the Italian champions.
Crespo was one of the first signings made by Claudio Ranieri after Roman Abramovich bought the club in 2003.
"We thank Hernan for his efforts in a Chelsea shirt, and wish him well in the future," said a Chelsea statement.
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