Outlook App Mail Notification Issue

Thanks for posting in the Apple Support Communities barisaydin,

The following provides steps to manage Fetch and Notifications settings for the Mail app:

Check Mail Fetch and Notification settings

By default, Fetch New Data settings are based on what's provided by your email service. If Push isn't available as a setting, your account will default to Fetch. These settings affect how your device receives email. To adjust these settings:

1. Go to Settings > Mail, then tap Accounts.

2. Tap Fetch New Data.

3. Choose a setting — like Automatically or Manually — or choose a schedule for how often the Mail app fetches data.

With iOS 11 and later, and iPadOS, Automatically is set by default. Your device will fetch new data in the background only when your device is charging and connected to Wi-Fi.

Make sure that your Notification settings are correct for the Mail app:

1. Go to Settings, then tap Notifications.

2. Tap Mail, then tap an email account.

3. Adjust your Alerts, Sounds, and Badges.

If you can't receive email on your iPhone, iPad, or iPod touch

If you're using the Microsoft Outlook app, we recommend contacting Microsoft support who would be in the best position to assist with similar steps or options that may be available in Microsoft Outlook.

Outlook for iOS Help - Microsoft Support

Cheers!