The president's comments came just hours after a senior Israeli air force delegation briefed their Russian counterparts on the findings of their probe into the loss of the aircraft by Syrian anti-aircraft fire during an Israeli airstrike on the coastal city of Latakia.
It also risked harming relations between Israel and Russian Federation, which established a hotline three years ago to avoid accidental clashes in Syria, but the leaders of both countries have since sought to move past the incident.
The arrangement was agreed by Israel and Russia in 2015, when Russian forces intervened alongside the regime in Syria to avoid clashes between their militaries inside Syrian territory. It said the Syrian army fired the missiles that hit the Russian plane when the Israeli jets had already returned to Israeli airspace.
Russia's foreign ministry on Thursday demanded "further inquiries and explanations from Israel", on the incident. "They fired quite recklessly and irresponsibly and unprofessionally into the air long after our planes were no longer there", the official said.
Any dispute between Israel and Russian Federation could lessen Israel's ability to carry out air strikes inside Syria against what it regards as the greatest threat to Israel's security from the country's civil war - build-ups of Iranian forces or those of Iran's Shi'ite ally, Hezbollah.
But the Israeli official said Israeli planes were "not anywhere near the Russian plane". "Our impression is that the discussions were professional and that the information was well accepted".
The Russian defence ministry previously blamed Israel for the downing of Russian Il-20 reconnaissance aircraft which was downed by Syrian government anti-aircraft guns in "friendly fire". Russian President Vladimir Putin was not angry with Syrian President Bashar Assad over the Ilyushin-20 incident and for this reason refused to answer his phone calls, Russian presidential spokesman Dmitry Peskov said to dismiss rumors in the Israeli media.
But the Israeli official said: "We definitely gave a warning, a time much longer than one minute".
Since intervening in Syria in 2015, Russian Federation has usually turned a blind eye to Israeli attacks.
Israeli officials, fearful of losing the close defense cooperation with the Russians that have allowed the IDF to operate over Syria against Iranian and Iran-linked forces, launched a full diplomatic push. "Both sides emphasized the importance of the states' interests and the continued implementation of the deconfliction system".