The day after anti-government protests erupted in Iraq, Iranian Gen. Qassim Soleimani flew into Baghdad late at night and took a helicopter to the heavily fortified Green Zone, where he surprised a group of top security officials by chairing a meeting in place of the prime minister. The arrival of Soleimani, the head of Iran’s elite Quds Force and the architect of its regional security apparatus, signaled Tehran’s concern over the protests, which had erupted across the capital and in Iraq’s Shiite heartland, and included calls for Iran to stop meddling in the country. The protests in Iraq and Lebanon are fueled by local grievances and mainly directed at political elites, but they also pose a challenge to Iran, which closely backs both governments as well as powerful armed groups in each country.