The phrase "a general impression that" is correct and usable in written English.
It can be used when summarizing or conveying an overall feeling or perception about a subject or situation.
Example: "After reviewing the feedback, I have a general impression that the project was well-received by the audience."
Alternatives: "a broad sense that" or "an overall feeling that".
Livingston were no more generously endowed, the consequence of which was a general impression that there was hardly a player on the field capable of killing the ball with his first touch or of completing elementary passes - those that need to travel more than 10 yards - to a team-mate.
The winger, captured for £5m, has impressed everyone at The Hawthorns during pre-season, confirming a general impression that he was far too good for the Championship.
There's a general impression that Scottish writers and artists are mostly in favour of independence.
Although there is a general impression that the two-decade-long insurgency in Indian-administered Kashmir the country's only Muslim-majority state is in remission, it still festers.
The stolid Mr. Blix had been addressing the U.N. again — there was a general impression that he had rather undermined the case for war.
The reasons cited include concerns about security and a general impression that private banking clients did not want that kind of relationship with their bankers.
I can't fucking sing over this!' Not exactly those words, right, but that was the general impression that came back to us.
The general impression that emerges is that biodiversity conservation in protected areas could benefit from the application of modern modeling approaches to a greater extent than is currently reflected in the scientific literature.
We read with great interest the case description by Pareja and Bandrés and, in a general impression, agree that the continous pain in between EF is an interictal pain associated with EF in this case as the localization of the continous pain was the same as that of EF and this pain was milder than the EF pain itself in severity.
(I-4) Although they received written and oral information, a general impression was that the next of kin were not well enough prepared for the meeting, and in particular did not know the role of the CEC.
Whether Mr. Davis wins or loses, he said, there is a general impression among voters that the recall has shaken things up so thoroughly that the state's many problems can only improve.
