Top: reduced S⁴G mosaic of NGC 4371 displayed using histogram equalisation in order to highlight faint features. The inner red box represents the MUSE field of our exposures, with 1′ on a side. This image suggests the presence of a very faint polar ring that could have originated in an encounter with a satellite galaxy, but the evidence for it is weak at best. No sign of a violent recent interaction is seen. Middle: SDSS colour composite of NGC 4371, 6.6′ on its longer side. Bottom left: central region of the S⁴G image with isophotal contours overlaid in red and a diagram overlaid in black representing our MUSE exposures. The MUSE field is the inner trapezoid; the outer polygon area is used to acquire point sources for the slow guiding system. The bar is clearly seen. Bottom right: image obtained via unsharp masking of the S⁴G image, showing clearly the ring near the centre of NGC 4371. This ring has a semi-major axis of ≈10.4′′ and a semi-minor axis of ≈4.3′′. It has a width of about 2′′ and is delineated by the black ellipse. North is up, east is to the left in all panels.