Does being around too much oil kill your health or lungs in any way?

I work at KFC, and it’s pretty oily there, my parents want me to quit after summer ends because they don’t want the oil to affect my lungs or health? Does being around there too long bad for your health? I really enjoy working there, and want to find a reason, or the truth if it’s bad so i can convince my parents to let me continue to work there even after summer ends… but i guess if it does affect my health, i would rather quit…