thank you for sharing your question with our community.
In order to give you a proper advice, it is necessary to know the specific name of your residence permit. There are many residence permits in Italy with very similar names, but only one gives you access to work and live here.
As this information is quite personal, you can submit a copy of your current residence permit via the safe channel www.mbeon.de (see information below).
A very good overview of the prerequsites for foreign jobseekers can bei found here: https://www.make-it-in-germany.com/en/visa/kinds-of-visa/jobseekers/
The requirements for studying in Germany are listed here: https://www.make-it-in-germany.com/en/visa/kinds-of-visa/studying/
Please come back to us if you have further question after having gained a gernaral picture of what might be suitable for you.
I hope my answers were helpful and I’ll be very pleased if you contact me again with further questions. I'm a member of the mbeon-staff and I‘ll be glad to guide over a longer period of time. mbeon is an online advisory service for migrants via the mbeon-app, which you can download on your smartphone for free. You'll find me in the mbeon-app under my name „München, Frau Müller“ and get confidential one-to-one advice in a safe virtual room where nobody can read messages. For further information please visit www.mbeon.de.
Download for Android: https://play.google.com/store/apps/details?id=de.zone35.mbeon
Download for iOS: https://apps.apple.com/de/app/mbeon-messengerberatung/id1408795643