I don't remember is it manga or novel. The story is like the opposite of otonari no tenshi sama. Where the male character save the female. -live as neighbour. -male character save the female character when she have a fever and fall down in front of the door. -male character can cook because his parent have a restaurant.
Erm, the closest thing I can think of would be either Oreshura or Pastel maybe? Neither fits your request completly