High-resolution follow-up spectroscopy of the TESS planet candidates is arranged by the TESS follow-up programme (TFOP), "Precise Radial Velocities" SG4 subgroup. We observed GJ 3473 with CARMENES. The observations began at the end of March 2019, just after the announcement of the transiting planet candidate, and ended in January 2020. In this period, we collected 67 pairs of VIS and NIR spectra with exposure times of about 30 min each. In the course of the Subaru IRD TESS Intensive Follow-up Project (proposal S19A-069I), we observed GJ 3473 with the InfraRed Doppler spectrograph (IRD). A total of 56 frames were acquired for GJ 3473 by IRD on 12 different nights between April 2019 and December 2019. GJ 3473 was also observed by the High Accuracy Radial velocity Planet Searcher (HARPS). The 32 observations presented here were taken between May 2019 and March 2020.