"I came to Gabala to share my experience and help the club grow and achieve something great," the 45-year-old, who was appointed in May 2010 on a three-year contract, was quoted as saying by the club's press office.
"I've spent some interesting time here. I did what I could but unfortunately I had to leave the club for family reasons."
The club said Adams' Turkish assistant, Fatih Kavlak, has been appointed caretaker coach until the end of the year.
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