1. You say you have filed an Appeal. In that Appeal you must have prayed for Stay of lower Court proceedings and impugned Order! Right-on!!
2. So diligently follow your Appeal on Urgent mode first and once Stay allowed extrapolate same now into Execution Court proceedings and meanwhile before Execution Court say an Appeal is pending further adjudication which both are like round-robin exercise as in running around from one court corridor to another court corridor.
Execution, if in her favour which is obvious then it is for the whole amount and there you can plead installment payments or maximum till by when that is all your scope there is. Reason being, an Execution Court cannot go into Evidences of ex-party or based on what the award was given by concerned Court PERIOD.
BTW, your current lawyer should know all these basics!