Arsenal and Chelsea might be in the same City; London but they are not rival, it's only Tottenham Hotspur and Arsenal that have rivalry between themselves. See how many players that have played at Arsenal and still play for Chelsea without problem on that and their fans don't give the players problem. I remember Oliver Giroud, it was after Giroud left Arsenal for Chelsea that he won trophies. Peter Cech, Williams and Co played for Chelsea and later useful for Arsenal. Fran'Cesk Fabregas played for Arsenal and went to Barcelona to win trophy, he wanted to return to Arsenal but there's no space and Chelsea have him.
Now Jorginho has join Arsenal. The move is unexpected for Arsenal fans but it has happened and Arsenal owners (The Kroenkes) have power over what they own and they can do anything to that but Jorginho didn't have problem with Arsenal fans before now, so he's definitely free to fans and he had to leave so that he won't be on bench as Enzo Fernandez is on his way to Stamford Bridge and it pays Chelsea because his contract would end by June and he can go free, I wonder why Arsenal didn't wait till that moment his contract would lapse but things might have change before then.
Jorginho didn't have problem like Pierre Aubameyang that said nothing special in Arsenal, the club that made you their own captain when you were there but later in regret now as Chelsea coach prefer the young lads than him. Jorginho already know that the coach would prefer the young players than him so he left when it's best to leave and his experience would be what is useful for Arsenal, he can be there for Thomas Partey, he can't replace Thomas Partey, his experience is what is needed!
21.503 SRY