"cooked a dinner" is correct and usable in written English.
You can use it when describing an activity someone did. For example, "I spent all evening cooking a dinner for my family."
"It left me with the sense that they've healed Joplin and moved on," he said, as his wife cooked a dinner of fried chicken for their four children.
"I just built it because I need it," said Mr. Flores, as he cooked a dinner of chili peppers, eggs and onions over a fire.
Michael Berman walked up and shook my hand and took me inside where his wife had cooked a dinner.
The Turks will plan and cook a dinner with Nilsson, then conduct a masterclass.
Then the Greenwich Arts Council asked Ms. Morton to cook a dinner for 400 people.
HOME AGAIN I get out of the store, try to get home, cook a dinner or at least have a nice dinner.
My first experience with the delights of a black truffle was at the hands of the chef Wolfgang Puck, who flew in to Washington a few years ago to cook a dinner at the residence of a foreign ambassador.
When I cook a dinner party at home, be it in London or Dorset, I try to balance the menu with some "can't buy in the shops" ingredients.
John specifically said he would cook a dinner for 18 of her friends on Feb. 24 if they would contribute generously towards the school's construction.
"Don't ask what you can do to help, we don't know, just offer to do something (or just do it ― mow the lawn, cook a dinner, go out with us)." ― Meghan Swanson Dangerfield.
Invite her to your place and have her help you cook a dinner.
