Here you can find a list of suggested accomodations, all located in the city center:
Buonconsiglio Hotel https://www.hotelbuonconsiglio.com/en/
Accademia Hotel https://www.accademiahotel.it
B&B Al Cavour 34 https://www.accademiahotel.it
Hostel Giovane Europa Trento https://www.ostelloditrento.it/it