Something odd is going on here... Panzerotti usually uses dough similar/the same as calzone. Flour, oil, salt. Not a pasta dough, which uses eggs. Usually.
Maybe you're making something different? You don't need a pasta maker for these large things. Just roll it out and go. I'm sure you can try something with pre-made lasagna, or pasta dough, and it'll probably be fine!
Some other Italy-connected person should weigh in here. My family is Northern.