My Current company (A) applied for my Labor Cert on Feb 2009 and is still in progress. It's been acquired (Company B) and I will be continuing on my same positon/salary with company B that acquired us. As per new perm regulations 20 C.F.R. 656.11(a) and 20 C.F.R. 656.11(b) can company B act as a successor of interest, take over my pending labor and move forward to next step without any issues.
Generally speaking they can take over your green card application if they have taken over substantially all assets and liabilities and the job remains the same. Anything short of that needs to be analyzed.