Yes, Stazon will stamp on a glazed tile. Keep a little rubbing alcohol handy and then if you mess up you can just wipe the tile clean and have another go!
The only proviso is that if your tile is going to get heavy use as a coaster, the stamping may scratch off. On a glazed surface the Stazon is basically just sitting on the top and doesn't make a really strong bond so it's possible to scrape it off. You might want to use a sealer over the top to protect it.