Odai - I would NOT rely on local rules who can log PIC and not.
Agreed about logging rules. If he wants to use the hours to count against the issue of an EASA licence, then he needs to ensure that they comply with the logging rules of EASA.
But in relation to being allowed to be pilot in command, he needs to follow the local rules about what licence he needs. A Jordanian aircraft in Jordanian airspace= Jordan decides who can be in command and what licence they need.