Yes Liverpool have indicated their interest in signing the Brazilian winger from Real Madrid but only if Real Madrid are willing to sell this summer and Real Madrid have released a huge 100 million price tag for him. It is now left to player to decide his future and then have talks with interested clubs on personal terms and club to club agreement.
It seems like just rumors to me, Rodrygo isn't worried concerning leaving Real Madrid, i find him to be more attracted to football there in Madrid despite not having the best opportunity to show off what he can if given the full minutes. Any team that successfully make it a done deal is definitely going to include him in their starting lineup always. Arsenal can forget about the deal with Rodrygo if Liverpool are seriously interested.