The disease has killed more than 3,300 people and infected nearly 100,000 in about 85 nations.
The 69-year-old patient has a travel history to Iran and had returned to Pakistan on February 25.
The moves came after Palestinian authorities said seven cases had been confirmed in the Bethlehem.
Substantial preventive measures have been put in place in various airports and seaports in the emirate.
It also said that citizens and residents wishing to enter must wait 14 days after returning from outside the region.
The GCAA urged the public to avoid spreading rumours on social media.
The ministry said it detected a new coronavirus case in an Emirati student, who had no symptoms.
Both the student and family members have been quarantined in hospital.
Substantial preventive measures have been put in place at various airports.
The student contracted the infection after the child's parent travelled overseas.