The most common and most likely answer to this crossword clue is the 7 letter word PITSTOP
I've seen this crossword clue in The Sunday Telegraph
P
I
T
S
T
O
P
More clues leading to the result PITSTOP
Buddy explains!

The straight part
We know that "Parking briefly, it’s to add petrol primarily?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case parking briefly, it’s to add petrol primarily? = pitstop.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PITSTOP mean?
PITSTOP noun- A stop made during an automobile race at the pit to refuel and perform other periodic maintenance on the vehicle.
- A brief stop for fuel, rest and/or refreshment during an automobile journey.
- A stop during any pedestrian or automobile travel for any utilitarian personal purpose, especially use of a bathroom.
- A place that offers food, beverages, and other goods and services for those stopping on an automobile journey.
- A utilitarian stop on a figurative journey.