Turkey shot down two Syrian fighter jets on Sunday as it intensified military action in northern Syria.
The pilots parachuted to safety over Idlib province, where Turkish troops and rebels have been clashing with Syrian government forces.
Turkey, which backs the opposition, said it had also targeted Syrian air defence systems and dozens of tanks.
Tensions in Idlib escalated sharply last week when at least 33 Turkish soldiers were killed in an air strike.
The incident sparked fears of a major escalation involving Turkey and Syria's main military ally, Russia.
But, on Sunday, Turkish Defence Minister Hulusi Akar said the country did not want conflict with Russia.
"We expect Russia to stop the regime's attacks," he said in a televised statement. "We don't have the desire or intention to clash with Russia."
Mr Akar dubbed the latest operation against the Syrian army "Spring Shield". He said it had destroyed a drone, eight helicopters, 103 tanks, as well as rocket launchers and other military equipment.
He added that 2,212 members of the Syrian forces had been "neutralised", a term used to mean killed, wounded or captured.
But the Syrian Observatory for Human Rights, a UK-based war monitor, said 74 Syrian government troops and pro-Damascus fighters had been killed since 27 February.
The latest developments have strained relations between Ankara and Moscow. But Turkish President Recep Tayyip Erdogan is expected to meet Russian President Vladimir Putin next week.
Meanwhile, the EU has called an emergency foreign ministers' meeting over the conflict.
What's the context?
Syrian government forces, supported by Russia, have been trying to retake Idlib from jihadist groups and Turkish-backed rebel factions.
Idlib is the last Syrian province where Syrian rebel groups still control significant territory.
The Syrian government advance has displaced nearly a million civilians who have fled to areas near the Turkish border. Turkey says it is already hosting millions of refugees and does not have the resources to let more enter.
Turkey has some troops in observation points in Idlib under a 2018 agreement with Russia. President Erdogan had earlier threatened to confront Syrian government forces if they did not withdraw from positions near the Turkish observation posts.
The attack on Turkish troops last week came after Turkish-backed rebels retook the key town of Saraqeb, north-east of Balyun. Russia denies its own forces were involved in the fighting in the Balyun area.
But Russia and Turkey are backing opposing sides in the civil war. Turkey is opposed to the government of Bashar al-Assad and supports some rebel groups.
Russia has rejected calls in the UN Security Council for a humanitarian ceasefire in northern Syria, saying the only solution is to chase what it calls terrorists from the country.
The Syrian government, which has regularly been accused of committing atrocities against civilians, says it is liberating Idlib from "terrorism".
The Turkish and Russian presidents spoke by phone on Friday. They both expressed concern and agreed on the need for "additional measures" to normalise the situation.
Why is Turkey so deeply involved in Syria?
Its long border with Syria has brought it into close contact with the civil war and its strong opposition to the Assad government has made it a natural destination for refugees.
But President Erdogan has said it cannot deal with the amount of people fleeing the civil war. Turkey has vowed to open its doors for migrants to travel to the EU.
Turkey is also actively trying to prevent Syria's Kurdish community establishing control over the border region, fearing that this would encourage Kurdish separatism within Turkey itself.
It has been accused of seeking to drive Kurds away from the border in order to establish a safe area within Syria to rehouse two million of the refugees it is hosting.