The biggest rumor is that Arsenal are very interested in  adding rodrygo to the squad. However , arsenal are showing such  interest in many forwards. We are seeing many rumors. But we do not know which news is credible yet. We are also seeing interest in Gyökeres and osimhen from Arsenal management.

Arsenal handed major Rodrygo transfer blow as European rivals 'make approach'

Arsenal need a regular scorer . Arsenal's forward lineup is a  bit behind compared to other teams in the Premier League. So this season Arsenal will try to strengthen their attack . Rodrygo is a talented player, there is no doubt about it. Arsenal is also showing a lot of interest in Rodrygo. But nothing can be said for sure about rodrygo's future right now.

The Brazilian star's career has just begun, so no matter how big an offer he gets from the Saudi league, he will not accept it, but he will try to take his career to a better level in a good club in Europe. Those who are smart will always focus on their career well because when they can take their career to a better level, they will be able to earn good money in Europe as well as have the opportunity to earn good money in the Saudi league at the end of their age.

Rodrygo brought great hopes to Real Madrid and the way he was playing in Real Madrid, it never seemed like he would have to leave Real Madrid at some point, but the manager has already bought several players for the team's needs. Now if he doesn't leave the club, he may have to sit on the side bench for most of the season and it may be worse for his career, so it would be a good decision for him to move to a good club in Europe and play regularly.

I don't think Rodrygo will move to Saudi Arabia, even though we know their offer is very tempting. Rodrygo could earn the same amount of money as he currently earns at Real Madrid if he stays in Europe, and of course several Premier League teams would have no problem signing him. Xabi Alonso would not hold back if Rodrygo wanted to leave, and Real Madrid are reportedly open to any club willing to offer 80 million to 90 million. Xabi Alonso will clearly implement a very different strategy to Ancelotti, and Rodrygo may not get the playing time he is used to.
https://www.espn.com/soccer/story/_/id/45665915/transfer-rumors-news-chelsea-eye-move-gonzalo-garcia

Real Madrid have the elements needed to be successful. The atmosphere in the team is very positive, and the change of coach has brought new ideas that have improved the performance of the players. However, several players will be victims of the change of coach, Rodrygo and Endrick positions in the Real Madrid squad are starting to be threatened because they are not included in Xabi Alonso plans.
Real Madrid management is trying to release Endrick on loan, while Rodrygo will be released permanently. Reportedly, PSG has contacted Rodrygo representatives, they are ready to accommodate him if their offer is accepted by Real Madrid.

This is the image that Real Madrid current striker is experiencing.

I don't think that Rodrygo will accept to move down to SPL because he hasn't achieved much and hasn't reached the peak of his career. He still needs more time to play in European clubs in order for him to improve himself and his value in the market. I don't think that these young players who have the zeal of adding impact in the European competitions are after fat pay, because they are too young to start putting money first before their career.

I hope it will happen but the power of money can change everything at the moment we don't see any strong rumors from top European teams to sign Rodrygo and if that doesn't happen then there is a possibility that he will go to Saudi Arabia because anyway Rodrygo will definitely leave Real Madrid because he already has a place again especially in Xabi Alonso's tactics he seems not so needed so it is only right for Rodrygo to leave.