You should consider throttling replication rather than pausing it - details depend on the scenario/platforms you are using - e.g. https://learn.microsoft.com/en-us/azure/migrate/common-questions-server-migration#how-do-i-throttle-replication-in-using-azure-migrate-appliance-for-agentless-vmware-replication
Alternatively, you can suspend the replication on per server level by using PowerShell
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hth
Marcin