The central midfielder is a key figure in the team that Carlo Ancelotti has assembled for the Toffees.
He hopes it will convince manager Didier Deschamps to give him more chances with France.
"Of course, I want to help Everton reach a good level and maybe the national team can come after that," Doucoure told evertontv.
"It is my main target [next] year. I am very happy with these words from a manager like Carlo Ancelotti.
"In the past three or four games, I feel I am getting better. I feel like I am finding my best form.
"I hope I can be an important player.
"I will keep going and stay humble."
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