Hello Wickmr
I suggest you to buy a Saver Day Pass at full fare (1/1). That’s how it works:
Download the SBB Mobile App or go to www.sbb.ch/en
Look up a connection from Zurich Flughafen to Zermatt. Choose any connection.
For the journey from Zurich Airport to Zermatt, buy a Saver Day Pass, currently at CHF 52. You should buy it now as the price is raising the closer the travel date and the higher the demand. The Saver Day Pass is valid for any connection from Zurich Airport to Zermatt; it provides enough flexibility in case of a flight delay, you can just hop on the next train after you grabbed your bags from the baggage carousel.
Buy the same for your way back, simply in the opposite direction.
A regular point-to-point ticket full fare (1/1) is CHF 129. The Saver Day Pass is a real bargain!
All clear? If not, come back here, we gladly assist.
Best regards,
Roland