Apparatus and methods for cableless connection of components within chassis and between separate chassis. Pairs of Extremely High Frequency (EHF) transceiver chips supporting very short length millimeter-wave wireless communication links are configured to pass radio frequency signals through holes in one or more metal layers in separate chassis and/or frames, enabling components in the separate chassis to communicate without requiring cables between the chassis. Various configurations are disclosed, including multiple configurations for server chassis, storage chassis and arrays, and network/switch chassis. The EHF-based wireless links support link bandwidths of up to 6 gigabits per second, and may be aggregated to facilitate multi-lane links.