Understanding the gamma-ray emission from the Galactic Center is challenging and interpretations can be controversial. As a site of massive star formation this region likely contains thousands of pulsars, but their radio detection is challenging, due to the large amount of interstellar scattering, while in gamma rays the detections are limited by the low fluxes and high levels of diffuse emission. In addition, many pulsars suffer from severe timing irregularities, limiting the maximum time span of the data set that can be effectively searched. A number of factors over the coming years will improve the sensitivity of LAT searches for gamma-ray pulsars in this region. However, by far the biggest impact on such searches would come from a modified observing strategy that included pointing at the Galactic Center for long periods of time. We will present our results on current searches for gamma-ray pulsars in the direction of the Galactic Center and discuss the potential improvements obtained from various alternative viewing strategies.