Thank you for using Stryd! Your current Stryd is definitely compatible the Zwift app. The Zwift app only uses the distance and pace information from Stryd, but you will still be able to see your data in Stryd PowerCenter. You can also see your power after the fact on your Zwift profile.
Note that Zwift uses Bluetooth to connect to your Stryd. This means you must unpair your phone from Stryd since it only supports one bluetooth connection at a time.
If you have any problems, contact firstname.lastname@example.org