  Josephson junction parametric amplifiers are playing a crucial role in the
readout chain in superconducting quantum information experiments. However,
their integration with current 3D cavity implementations poses the problem of
transitioning between waveguide, coax cables and planar circuits. Moreover,
Josephson amplifiers require auxiliary microwave components, like directional
couplers and/or hybrids, that are sources of spurious losses and impedance
mismatches that limit measurement efficiency and amplifier tunability. We have
developed a new wireless architecture for these parametric amplifiers that
eliminates superfluous microwave components and interconnects. This greatly
simplifies their assembly and integration into experiments. We present an
experimental realization of such a device operating in the $9-11$ GHz band with
about $100$ MHz of amplitude gain-bandwidth product, on par with devices
mounted in conventional sample holders. The simpler impedance environment
presented to the amplifier also results in increased amplifier tunability.
