Germany's Sigmar Gabriel also said Hariri should return as his departure has shaken Lebanon.
She praised the achievements of the Lebanese government under Hariri, who resigned saying he feared assassination.
"Lebanon's issues are related to the Lebanese themselves and we will not interfere in Lebanon's issues and based on our principled policies, we never interfere in other countries' internal affairs", Qassemi told reporters in his weekly press conference in Tehran on Monday.
Saudi Arabia announced it shut down all ports after a November 4 ballistic missile attack on Riyadh near its global airport by the Houthis. He has friends and supporters and interests and so forth, first and foremost among them the Custodian of the Two Holy Mosques, whom Saad Hariri said he look up as a father figures.
The resignation and its aftermath have thrust Lebanon back to the forefront of the conflict between Sunni Saudi Arabia and Shiite Iran.
"We can not continue in Lebanon in a situation where Iran interferes in all Arab countries, and that there's a political faction that interferes alongside it", he repeated on Sunday in apparent reference to rival movement Hezbollah. Hezbollah has sent thousands of fighters to Syria, Lebanon's neighbor, to support the forces of Syria's President Bashar Assad.
A much-awaited live interview was done with Hariri on Sunday night by Future TV, a channel associated with his political party.
Air quality in Delhi-NCR likely to improve in coming days:Minister
A United States embassy measure of tiny PM 2.5 particles, showed a reading of 523 at nine am on Friday. The thick blanket of gray air and pollutants has enveloped Delhi for the past four days.
"We are in the eye of the storm", he said.
Tillerson was "not going along with the Saudi position in describing the Lebanese state as under capture by Hezbollah", said Paul Salem, the senior vice president of the Middle East Institute, a Washington think tank. He also accused Saudi Arabia and Israel of masterminding the Lebanese political crisis.
Lebanese President Michel Aoun has yet to formally accept Hariri's resignation and has said he wants to meet him in person to discuss the situation.
Many commentators consider the interview as another attempt by Riyadh to prove that Hariri is "free to move" in the Gulf Kingdom.
After a belligerent resignation speech on November 4, Hariri looked sad and exhausted on Sunday, at times holding back tears in the interview that went on for over an hour. "It's an excellent and special relationship", he said.
When asked to comment on whether the United States was pushing for a more cautious Saudi response, both the White House and State Department referred to Saturday's statement on Lebanon.