In the past two decades, the radio detection of cosmic-ray extensive air showers (EAS) has developed into a technique with a resolution on cosmic-ray properties that is competitive with other observation techniques, at relatively low cost and high uptime. The results of existing radio cosmic-ray experiments have shown good agreement with other measurements as well as predictions from particle-level Monte-Carlo simulations. However, to date, almost all radio measurements have focussed on the frequency range below 100 MHz. While the emission generally is expected to be weaker at higher frequencies, both analytic coherence considerations and detailed simulations also predict the presence of a new polarization pattern due to synchrotron radiation. This contribution will present some arguments for and a preliminary study into the feasibility of detecting cosmic-ray radio emission in the 350 MHz to several-GHz frequency range using SKA-Mid.