I have quite big raster and I 7 restangle polygons. What I need is to extract the raster so the result is 7 small TIFF tiles ideally using QGIS (possibly also ArcGIS but it's really slow here). Clip feature doesn't work properly as the result is one big black polygon.
I downloaded and reprojected arbitrarily your image and, afterward, I created a layer with seven polygons; as it can be observed in following image:
With raster -> Extraction -> Clip raster by mask layer tool, I set following parameters (mask layer was loaded by default):
After click in Run button, result was as expected. A masked raster by seven polygon features.