France fell short, but Pogba says he enjoyed the tournament as a whole after Sunday's final victory by Italy.
He posted online: "It has been a dream to play again in such a prestigious tournament and against the best nations in the world. We were not able to succeed, but I would like to congratulate Italy on winning the tournament.
"I would also like to give a big cheer to Denmark and Christian Eriksen to show strength in the difficult time. Thank you to all the fans for your energy and positivity.
"I will always remember this special European Championship for the rest of my life. It was great to see you all at the stadium after 18 difficult months. Hopefully we will see each other again soon with the trophy."
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