Berlin-born Bellarabi has a Moroccan father, giving him dual nationality, and has not been capped in a competitive senior match which means he can change his international allegiance.
He had a meeting with Ezaki on Thursday, the Bild newspaper reported on Friday.
Morocco have long had a policy of seeking out players with Moroccan roots, born and based in Europe, for their national team and their current squad has players born in Belgium, Canada, France and the Netherlands.
Last month, Bellarabi scored the fastest goal in the Bundesliga's 52-year history after nine seconds in Leverkusen's 2-0 win at Borussia Dortmund on the opening weekend of the season.
Bellarabi returned to Leverkusen this term after a loan spell at Eintracht Braunschweig.
Morocco host the Nations Cup finals from Jan. 17-Feb. 8.
(Reporting by Mark Gleeson in Cape Town; Editing by Ken Ferris)
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