Magnetic Resonance Fingerprinting with Quadratic Phase (qRF-MRF) was previously validated in 2D clinical imaging for simultaneous off-resonance, T1, T2, and T2* mapping. Translation of qRF-MRF to high-field preclinical systems for small animal imaging is challenging due to the higher field inhomogeneity and the higher spatial resolution required. Here, a 3D qRF-MRF method was explored to address these challenges. High-resolution simultaneous mapping of off-resonance, T1, T2, and T2* on in vivo mouse brain at 7T was demonstrated. Computational limitations for large dictionary parameter space and reconstruction times were addressed using randomized SVD time compression and quadratic fitting methods.