While CozyCal doesn't have a mobile app, you can add CozyCal's website to your home screen as a shortcut which makes it function just like an app. We've improved our navigation buttons on mobile devices, and now they're more accessible on tiny screens.
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Add to Home Screen.
Add button.
Now CozyCal's icon will be displayed as a shortcut on the home screen — just like an app. When you tap the CozyCal shortcut, log into your CozyCal account on Safari and view scheduled appointments with one glimpse.

Add to home screen.