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I also heard some rumors about Joselu. The first rumor was Real Madrid wanted to sign him permanently. It makes sense if Real Madrid signed him because Real Madrid only needs to spend a small amount of money. Joselu also has contributed well for Real Madrid in the last season. But since Real Madrid already signed Mbappe, Joselu may be not really needed anymore. I guess Joselu didn't want to stay in Real Madrid as a substitute player. He wants to play as a main striker, and he is also interested in the big salary from Saudi or Qatar league. So, it is normal if he wants to move to Qatar or Saudi league.
I've heard the same rumors you've heard about Joselu. Real Madrid want to renew his contract for at least one more season even though the player has no chance of playing in the regular XI. Real Madrid only want to keep this player in the team as an additional support. For example, if an important player in the regular eleven is injured, then he may plan to play in his place.
Since joining Real Madrid, we have seen the player warming the bench for more time. He should have thought about his career long ago. If instead of sitting on the bench of a big club, he came to the field from the regular eleven of a small club, then his game might have changed a lot and he could later play in the regular eleven of a big club. Since the prime of his career is gone, if Real Madrid offer him a year now, they should go from there.
The arrival of Mbappe and Endrick makes Joselu position even more marginalized, a right decision at the right time to leave Santiago Bernabeu. Joselu has made a real contribution in his one season loan spell, and Joselu was very lucky to have tasted the Champions League, La Liga and Spanish Super Cup trophies. Even though Ancelotti tried to keep him, it was time for Joselu to look for a new challenge. He is no longer young, and fortunately Joselu received a good offer from one of the clubs from the Qatar League. Joselu will earn a big salary there, and that's good enough before deciding to retire. The two goals that Joselu scored against Bayern Munich in the Champions League semifinals will always be remembered by Real Madrid fans, no one expected Joselu to do it in a very short time.