Eghbali was reported to have visited the players following Chelsea's 1-0 defeat to Aston Villa on Sunday.
Such actions have been criticised previously, with owner Todd Boehly known to have done it during Graham Potter's reign at the club.
Pochettino has since revealed it is not a problem should a member of the hierarchy deem it is necessary to go into the dressing room.
"I like when the owners come," Pochettino said.
"In all my career as a coach, at Espanyol, Southampton, Tottenham and Paris Saint-Germain before and after. I think it is good that the owner came to the dressing room.
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"It's the way they approach the player is important, if they are in a good way then they are very welcome. After my press conference after the game against Aston Villa, they came and chill with us, like normally.
"Also against Liverpool, Luton, Nottingham Forest and Aston Villa, they came with Paul and Laurence and Behdad.
"We talk about the game. I don't see it in a bad way. For me, it's good always if they share with us and they can say hello to the players. It would be different if they came for a speech or something, but with the way that they came of course they are very welcome.
"They own the club, they can do whatever they want. We are so glad they came and shared with us - even when it's good things and we won the game, but even on Sunday where we lost and we are suffering."
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Ollie Watkins netted the all-important goal for Villa, inflicting more misery on Chelsea.
The Blues are now 14th in the Premier League standings with just five points, suffering three defeats in their opening six matches.