If you have a surge arrestor in the zone of protection, either differential or ground, the protection would see the operation of the arrestor.
I don't think there is a way of having meaningful "high speed differential" with surge arrestors in the zone without the protection tripping on arrestor operation. High speed means you can't delay the protection to wait out the surge arrestor, and meaningful differential protection means you can't open up the settings enough to not trip on arrestor operation.
Ground protection, on the other hand, is a bit different. High speed, when ground is compared to differential, is probably slower. Ground protection has to allow for "false residual" transients on motor starting, that are much less likely to impact a differential relay (and most modern differential relays are designed to detect and block operation on transients) than they are to impact a ground relay. To allow for these starting transients, the ground relay is not going to be set for instantaneous operation on low residual currents.
If you don't want the protection to trip the motor on surge arrestor operation (that's a separate issue), the best bet would be to have the surge arrestors outside the differential zone of protection and inside the ground zone with sufficient time on the ground elements to allow motor starting transients and surge arrestor operation to happen without tripping.