In a large skillet, heat olive oil over medium-high heat. Add garlic, onion, celery, and carrots and cook, stirring occasionally, until vegetables are softened, about 5 minutes.
Add chicken and cook for 2 minutes more.
Sprinkle flour over the vegetables and chicken and cook, stirring, for 1 minute.
Stir in chicken broth and cream, then add thyme, oregano, and parsley. Bring the mixture to a simmer and cook for 3 minutes, stirring frequently.
Remove from heat and season with salt and pepper, to taste. Add frozen peas and stir to combine.
Transfer the mixture to a 9-inch pie plate.
Cut puff pastry into 1-inch strips and arrange in a lattice pattern over the top of the pie.
Bake for 20-25 minutes, or until the top is golden brown.
Let cool for 10 minutes before serving.
Interesting Facts
This dish is named after Jeremy and Jasmin, two chefs who created the recipe.
Chicken Pot Pie is a classic American comfort food.
Puff pastry is a flaky, light pastry dough that is used to make pies and other pastries.