With vSphere Replication VSS quiescing is an option. It is not on by default.
If you are using array-based replication you would need a solution from your array vendor to handle this. From what I've seen, these kind of solutions require the use of an RDM and an agent installed on the VM OS. I would suggest researching or contacting your particular array vendor to see what they offer. The SRA wouldn't be involved in this, it would just be the replication solution communicating with the agent, quiescing the application and then replicating the RDM.
I would also suggest investigating whether or not your application needs application quiescing. From what I've seen, most modern applications do fine without application consistency (if the VM where your application runs crashes or the host it is running on fails and the VM restarts hard, do you have problems with the application?)