Future generation local communication systems will need to employ THz frequency bands capable of transferring sizable amounts of data. Current THz technology via electrical excitation is limited by the upper limits of device cutoff frequencies and by the lower limits of optical transitions in quantum confined structures. Current metallic THz antennas require high power to overcome scattering losses and tend to have low antenna efficiency. It is shown here via calculation and simulation that graphene can sustain electromagnetic propagation at THz frequencies via engineering the intra‐ and interband contributions to the dynamical conductivity to produce a variable surface impedance microstrip antenna with a several hundred GHz bandwidth. The optimization of a circular graphene microstrip patch antenna on silicon with an optimized return loss of −26 dB, a −10 dB bandwidth of 504 GHz, and an antenna efficiency of −3.4 dB operating at a frequency of 2 THz is reported. An improved antenna efficiency of −0.36 dB can be found at 3.5 THz but is accompanied by a lower bandwidth of about 200 GHz. Such large bandwidths and antenna efficiencies offer significant hope for graphene‐based flexible directional antennas that can be employed for future THz local device‐to‐device communications. Graphene is shown to sustain electromagnetic wave propagation at THz frequencies and leads to ultrawide band antennas of several hundred GHz bandwidth and is a route to bridge the so‐called THz gap. Such a technology will open up the possibility of efficient data transfer at high rates for local device‐to‐device communications on flexible and conformal substrates.