I'm not sure that we can keep him. We can name 16 non-homegrown players in the Premier League:
GK: Eduardo, Caballero, Courtois
DEF: Azpi, Luiz, Rüdiger, Alonso
MID: Kanté, Bakayoko, Willian, Hazard, Pedro,
FW: Batshuayi
This is 13.
I didn't count Matic and Costa bc they are likely to leave.
We'll have to bring one striker(Morata, Auba, Belotti), so it's 14. Some wingbacks(Alex Sandro and Danilo) are also rumoured to join us. If Pasalic stays he'd take one non-hg place too, if we offload him we'll have to buy another DM. So we can reach 16 quickly. I don't think we'll spend one spot on Rémy.
(by the way, I think it's ridiculous that we have a non-hg thrid choice keeper, such a waste)