A system for streaming packet captures over the Internet includes multiple network access devices, each operating as one of a gateway device, a wireless access point, and a network switch, and a management server communicatively coupled to the network access devices over the Internet for managing the network access devices. The management server maintains a persistent hypertext transport protocol (HTTP) connection with each of the network access devices over the Internet. The management server is to generate a bytecode based on a filtering expression for packet captures (PCAPs) representing one or more PCAPs filtering rules, transmit the bytecode to the network access devices without requiring the network access devices to compile the PCAPs filtering rules, receive PCAPs from the network access devices captured by the network access devices based on the PCAPs filtering rules, and merge the PCAPs received from the network access devices into merged PCAPs.