Drive fast towards the chef. Jump out of the car before you get too close. The car will then hit the chef and kill him. Pick up the cell phone. When the three chefs appear, they will protect you instead of trying to kill you. Another advantage is that Lance will follow you. When the car pulls up to the hotel at the end of the mission, Lance will get out with you, and the car will drive away by itself.

When you go to the alley where the chef is located, find him but do not get too close. Line him up with your vehicle and get a good run for it. Run him over so that you do not have to risk getting beat up. Then, get out and pick up his cell phone.