There are indeed restrictions on western foreign media.
"Like all foreign news organizations operating in Israel, CNN’s Jerusalem bureau is subject to the rules of the Israel Defense Forces’s censor, which dictates subjects that are off-limits for news organizations to cover, and censors articles it deems unfit or unsafe to print. ... the military censor recently restricted eight subjects, including security cabinet meetings, information about hostages, and reporting on weapons captured by fighters in Gaza. In order to obtain a press pass in Israel, foreign reporters must sign a document agreeing to abide by the dictates of the censor."
"Like all foreign news organizations operating in Israel, CNN’s Jerusalem bureau is subject to the rules of the Israel Defense Forces’s censor, which dictates subjects that are off-limits for news organizations to cover, and censors articles it deems unfit or unsafe to print. ... the military censor recently restricted eight subjects, including security cabinet meetings, information about hostages, and reporting on weapons captured by fighters in Gaza. In order to obtain a press pass in Israel, foreign reporters must sign a document agreeing to abide by the dictates of the censor."
https://theintercept.com/2024/01/04/cnn-israel-gaza-idf-repo...
https://theintercept.com/2023/12/23/israel-military-idf-medi...