If the appellant court not stayed the execution of the decree by the trail court, the decree can be executed.There is no bar in filling of execution petition, but the same can not be moving ahead in case the stay order exists against the decee.
Does the appeal include an application for stay of the lower courts order? Has the stay application been disposed off or is it still pending? If the stay application has been disposed off without an order on stay, the lower courts order can be enforced, which will be subject to decision on the appeal. If the stay application is pending, EP is not advisable.