Send your suggestions to the Trezor support team; this will increase the chances of them adding a pop-up notification and\or sound alert for transaction confirmations when receiving or sending assets. They might just listen and add this feature to trezor suite (hopefully with an option to disable it), though personally, I don't really need it.
By the way, what’s stopping you from installing app on your phone and tracking all the transactions?
To tell you the truth, it’s something I’ve never really stopped to think about
Usually, when I send or receive transactions, I make the transaction and then immediately close my wallet (Electrum), or in the Trezor Suite itself, I make the transaction and then close the app and remove the hardware wallet from the USB port
Most of the time I don't wait to see the tx confirming or I don't leave wallet opened in my device
I do exactly the same thing. I’ll add that, after some time, I might check the transaction confirmation - sometimes even via a blockexplorer - since I’m too lazy to connect the hardware wallet to my PC again.
Also, from a security standpoint, it’s not exactly wise to leave trezor suite open, even if the hardware wallet is physically disconnected, since some users on this forum have mentioned living with relatives and wanting to keep their HW device locked in a safe in a separate room under camera surveillance.

Everyone will feel more at ease if no one but you (or people you trust) can see your balance in trezor suite.
Guys, when I use my Trezor to send or receive coins, I usually disconnect after finishing the transaction. The thing is, last time I needed to make another transaction and was waiting for confirmation of the funds.
Regarding suggesting this to Trezor, I'll do it through github, since I haven't received any response on their forum. I've tried starting a discussion there, but nobody ever replied to me.
Later I will open an issue on github, but the chances of them adopting it are low, as they probably have more important things to do.
About using BlockExplorer to monitor transactions, it's a partially good idea, because when using a public Block Explorer, you trade privacy for convenience. You'll never have a guarantee that they're associating addresses with your IP, but using Tor can lessen the impact.