Multiple ground-based detectors have measured cosmic-ray anisotropy at the TeV and PeV energy scales. These detectors are only sensitive to the variation of cosmic-ray flux in right ascension, not to the declination component of the anisotropy. As a space-based, all-sky survey instrument, the Fermi Large Area Telescope detects cosmic rays from the entire sky and is sensitive to arbitrary orientations of cosmic-ray anisotropy. Moreover, the LAT has good ability to discriminate protons from helium nuclei and heavier ions, while ground-based detectors have limited composition resolution. The LAT is also complementary in energy range and, thanks to its large acceptance, has detected the largest number of primary cosmic-ray protons at the 100 GeV energy scale of any detector. We present the results of an all-sky search for cosmic-ray proton anisotropy using 200 million protons detected over eight years. The analysis is sensitive to possible dipole signals with arbitrary orientation and amplitude at the $10^{-3}$ scale.