The Japanese international has been an integral figure for Celtic in recent seasons after he was brought to the club by Ange Postecoglou.
Hatate's form resulted in Celtic offering a new contract, but the 25-year-old subsequently turned the offer down.
"However, there are still some areas that I have yet to clear, so I would like to continue to set firm benchmarks in my mind and work without wavering. I want to finish without regrets. That is the best.
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