This is said about any pretty much any coach who does a good job with any club.
I seem to remember the same being said of Montpellier after their win with players like Belhanda and Cabella and having the top scorer in Giroud. Same with Mahrez and Kante and Vardy being a top goalscorer (might have even said that one myself )
If Wenger ever did well people would point to Ozil, Sanchez and Koscielny and same for Pochettino with Kane, Alli and Eriksen and the same with Conte and Hazard, Costa and Kante.
It isn't just having good players that does it though. Good players have played like crap under crap coaching and decent players have looked like top players under good coaching.
Our next coach needs to be somebody that's done a good job, probably in a respectable European league and ideally in European competitions. I don't see any reason someone like Jardim would not be at the right level and the right stage of his career to have a job like Arsenal if Mourinho was capable of getting the Chelsea job, Pochettino the Spurs job, Guardiola the Barca job, Zidane the Madrid job, Manicini the Inter job, Allegri and Ancelotti the Milan job etc. etc.