"in the face of pressure" is a correct and usable phrase in written English. You can use it when you are talking about a person or situation in which one endures or maintains their attitude, behavior, or action in spite of external pressure to change. For example, "John managed to overcome his fears and keep his cool in the face of pressure.".
Will stand and deliver in the face of pressure and moves well within the pocket.
This is a story of persistence and consistency in the face of pressure to also entertain.
The studio heads were ever weak-kneed in the face of pressure.
On the first, he lofted an undefined ball down the middle in the face of pressure.
But he has steadily retreated in the face of pressure from the street.
The real question is whether they can continue to do so in the face of pressure from shareholders.
Gabbert read the field fairly well but was a half-beat reactive and also inaccurate in the face of pressure.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK