His remarks came in response to recent calls from members of Germany's majority Christian Democratic Union (CDU) party to expel Greece from the Schengen area due to its alleged failure to protect the EU's external borders.
"First and foremost, the EU should focus on taking the necessary steps to stop the war in Syria instead of discussing Greece's protection of the EU's borders," Mustafa said.
According to him, the latest events indicated the EU's double standards on migrant-related policy.
"Those actions that we are now seeing are nothing but a search for a plausible pretext. The EU countries want to distance themselves from the problem, and are trying to lay the entire responsibility for the migration crisis on Greece," he said.
Mustafa blamed the EU for "turning a blind eye to the truth", saying that the migration crisis should be resolved by the whole of the international community, "otherwise we will not advance in its decision."
Earlier this week, lawmakers from the CDU argued that Greece must be excluded from the Schengen area amid the ongoing refugee crisis.
Greece has been under pressure for several months, because most of the refugees arriving in the country continue their journey through the Balkans to Austria, Germany and Sweden without any restrictions.
The uncontrolled influx of migrants has overwhelmed many European countries and has forced them to reintroduce internal border controls within the Schengen area.