According to Hamas spokesman Sami Abu Zuhri, reports that Saudi Arabia had called certain Hamas officials to voice its displeasure with the visit were unfounded.
In a statement, he added that Hamas was keen to maintain good relations with all Arab and Islamic states.
Some Palestinian media agencies had reported that Saudi Arabia had been angered by the visit to Iran.
A Hamas delegation visited the Islamic republic last week to discuss means of improving bilateral relations, which have soured in recent years due to Hamas' position on developments in Syria.
Relations between Saudi Arabia and Iran, meanwhile, remain strained, with Iranian support for the Syrian government only serving to widen the gap between Riyadh and Tehran.
Hamas used to enjoy strong ties with Iran before the eruption of the so-called "Arab Spring" uprisings.
When a popular uprising erupted in 2011 against the regime of Syrian President Bashar al-Assad, Hamas refused to give its support to Damascus, which enjoys the strong support of Iran.
Recent months, however, have seen Hamas and Iran taking tentative steps towards reconciliation.
On Sunday, Hamas' armed wing, the Ezzedin al-Qassam Brigades, thanked Iran for providing it with "financial and military" assistance used to defend the Gaza Strip from Israel's recent 51-day military onslaught.
Speaking at a Gaza City rally on Sunday, Brigades spokesman Abu Obeida thanked Iran for its "support of the Palestinian resistance" by providing rockets that were used against Israeli targets during the self-proclaimed Jewish state's deadly summer offensive.
Abu Obeida also extended thanks to Qatar and Turkey for "supporting the people of Gaza and the Palestinian cause."