I accidentally submitted my corrections before I was finished.  So I'll continue here.

Here are other ways to say that you want to push the accelerator pedal:

You want to "floor it."  =  You want to push the pedal down the floor of the car, in order to drive as fast as possible.

You want to "step on the gas."  =  You want to step on the gas pedal.  (gas pedal is another name for the accelerator pedal)

You want to "push the pedal to the metal"  =  You want to push the pedal down to the metal floor of the car (under the carpet) in order to go very fast.

You want to go "flat out" (as fast as you can go).

About My Car

Now I want to tell about my car. My car is a Cadillac BLS that my parents presented me, when I finished school with a gold medal in education. My car is silver colored, with a grey interior inside, and leather seats.  The Cadillac is a powerful car, but I never speed.  [1] But sometimes I want to push the accelerator pedal. [2]

Now I study at the university, but at weekends I go home, and go with my best friend to street racing parties. Sometimes I want to sit in my car and drive. Never mind where I'll go.  I just drive.

[1]  "chase" is not correct.  And I wasn't sure what you meant, so I guessed you meant "speed", which means to exceed the speed limit (go faster than the law allows).  If I guessed wrong, sorry!

[2]   Here are some other ways of saying you wanted to "push the accelerator pedal."

   You want to "floor it" [= Yo press the pedal to the floor of the car