How do i contact penske truck rental customer service? You can contact the customer service representative of Penske Truck Rental calling Penske Truck Rental's helpline phone numbers. Toll-Free Number: (800) 526-0798Are penske trucks covered in accidents? However, many Penske trucks are rentals so if you get in an accident with one of them chances are the driver is not a Penske employee and the accident will be covered by the driver’s own separate insurance.How often does penske get sued in maryland auto accident cases? Penske gets sued in Maryland auto accident cases about 6-10 times every year. In 2017 Penske Truck Leasing was named as a defendant in 8 auto accident cases.What is penskes limited damage waiver for rental trucks? Without Penske's Limited Damage Waiver, you will be liable for any damage to your rental truck regardless of who is at fault. Most major credit card companies do not cover rental truck damage. Your automobile insurance company may not cover rental truck damage and even if they do, you face a deductible and higher premiums.