The Radio Neutrino Observatory Greenland (RNO-G) is an in-ice neutrino detector currently under construction on top of the Greenlandic ice sheet. Its primary goal is to achieve detection of neutrinos beyond energies of $\sim$ 10 PeV. Each station is equipped with log-periodic dipole antennas (LPDA) oriented toward the sky, which play a crucial role for background reduction in the neutrino search. Furthermore, these antennas enable the detection of radio emission from cosmic-ray air showers. Other experiments have already shown that the radio emission of air showers allows for precision measurements of cosmic-ray properties. Upon completion of its planned 35 stations, RNO-G will be covering an area of $\sim$ 50 $\mathrm{km}^2$, making it a medium-sized cosmic-ray detector as well. A unique feature of RNO-G is its high-altitude location ($\sim$ 3000 m), which allows the study of shower cores impacting the air/ice interface and further developing in the ice itself. Moreover, RNO-G provides an opportunity to study high-energy muons, created in cosmic-ray induced air showers.

In this contribution, we will present the final results of the first analysis utilizing the shallow LPDAs to detect radio emission from cosmic-ray air showers. We will show the analysis methodology and discuss the detected cosmic-ray events, including their reconstructed properties.