Combine breadcrumbs, garlic powder, salt, paprika, and parmesan. Dip the tomatoes in the egg and then dredge them in breadcrumbs.
Combine garlic, basil, mayo, olive oil, and salt in a food process and process until completely mixed.
Add olive oil to the saute pan on medium heat. Once the olive oil is hot, add the tomatoes and fry each side for approximately 3 minutes or until golden brown. Remove and sprinkle with salt. Serve with the aioli!
Notes
You can bread the tomatoes a day in advance to save time. Placing them in the refrigerator will actually make them slightly less moist and lead to a crispier fry.