'make a favourable impression' is correct and usable in written English.
You can use it when you are trying to express the idea that you want someone to think positively about something. For example: I tried my best to make a favourable impression on the interviewer so that I could get the job.
Barkley always wanted the ball and looked absolutely determined to make a favourable impression.
"There was not a single police witness," he said, "who did not make a favourable impression upon the court".
The national squad departed on Monday for a five-day training camp at Vale do Lobo in Portugal with their manager stressing the team can only make a favourable impression at the finals in Brazil, starting next month, if they are a squad united.
Rooney had a couple of chances to equalise but could not hit the target on either occasion and Ross Barkley quickly set about making a favourable impression after replacing Welbeck.
Cotterill led Bristol City to the League One title in style last season, having previously made a favourable impression with Leicester when he coached at the club towards the end of the 2003-04 season under Micky Adams.
In 1867 he accompanied Abdülaziz on his European tour and made a favourable impression; during the tour he secretly contacted exiled nationalist-liberal Young Turks, for which Abdülaziz placed him under close surveillance.
"In England you must work in every training [session], every day, I think that is the problem". Reading would appear to be on safer ground with Pogrebnyak, who has quickly made a favourable impression at the newly promoted club with his attitude and ability.
Astor wrote to Rab Butler, the foreign secretary, urging him to do all he could to "save the life of the outstanding African leader in South Africa, and also one of the most moderate … He has a high standing with the heads of government in the rest of Africa, and has made a favourable impression on all who have met him".
But he made a favourable impression on tour with the England management.
Willian, 25, was successfully introduced to the squad towards the end of last year, and quickly made a favourable impression on the Brazil coach.
Fourteen years older and at the other end of his career, Everton's Leon Osman was another who will have made a favourable impression on the manager.
