Hello
I'm so happy, it work !!!
So, I didn't test with another HDMI cable because I made a mistake in my order, I ordered a extension HDMI cable instead of a micro HDMI to HDMI cable, stupid I am
Just in case : https://www.amazon.fr/dp/B07H7JCCKM?ref=ppx_pop_mob_ap_share
So I have decided to make a last try. I have a HDMI switch that I use to switch between my console (Nintendo switch) and my TV Box (provide by my ISP).
I decided to used this switch to switch between my rpi and my tv Box. The cabling allowed me to see that the signal coming from my rpi4 wasn't here. I have a led displayed when the signal is coming in.
So to make it work, I have used this switch to display the signal coming from my box on my TV and when the signal was well displayed on my TV, I switch to rpi4 and voilà, signal is OK and the kodi is displayed.
I decided to check all my custom configuration, like hdmi_xxx and dtovrelay in my config.txt and go back to the default config.txt and signal was ok too.
Thanks all of you for your time and patience. My TV is ten years old so maybe connectivity are not like are it used to be.