Considering that neither Syria nor Jordan has fully commented on this strike, one may assume that the Syrian government tacitly allowed Jordan to attack its territory. At the same time, Jordan has no interest in destabilizing southern Syria any further, as that could bring even more chaos across the border. Like many aspects of the region, the real details of Syria's normalization will play out in the backrooms, away from the press.
Jordan is playing with fire as it tries to normalize relations with the Assad regime while also containing drug smuggling and Syrian refugees. Assad and his regime are disingenuous, and it's well-known that they will do everything to avoid fulfilling their promises. The US should not support normalization, and Jordan should be more thoughtful toward the regional situation.