United States
Answer ... Yes, an appeal can be taken from a ruling recognising or enforcing a foreign judgment, or a ruling denying recognition and enforcement. For example, in DeJoria v Maghreb Petroleum Exploration, 804 F 3d 373 (5th Cir 2015), the appellate court heard an appeal from an order denying recognition under the Texas Recognition Act.
United States
Answer ... The party taking the appeal can seek a stay pending appeal to preserve the status quo. A stay turns on factors that include irreparable injury, likelihood of success on the merits and where the public interest lies.