Buongiorno. I am a legal resident of

As a legal resident of Spain you should have a Schengen visa which you will need to remain and travel in Europe. however once in Italy you will need to apply for a Permesso di Soggiorno as a non EU national, and go throyugh all that process - which will require you to have a reason to be here, either for tourism, or work or elective residency - and all of those require an address, a job contract or the ability to show you are independent financially and wont be a drain on the Italian state.   If you want to 'study' you will need the Permesso di Soggiorno for study, which requires a course and an offer.  You cannot work before you have your PdS, and if you apply for a PdS to study, you cannot use it to work .Your ideal solution is to find a job and be offered a contract to use for your PdS application - and then you are set up for at least a year.  Its not easy - but mother tongue teachers are in demand.   Good Luck

I agree with the advice given by modicasa. One extra possibility. Investigate, if you have not done it before, whether you could obtain, because of your ancestry, Italian citizenship. You will need quite a few legalized and translated documents, but it would be worth a try. There is plenty of information on the topic through the web. Alternatively, contact your nearest Italian Consulate. You could also check the French maternal side. Both would give you the possibility of EU citizenship and the USA accepts nowadays dual nationality. Good luck!