Your lens will work on your camera, but it will need to be manually focused. The seller may have technically been correct while intentionally being a bit misleading: it is an autofocus lens and it can be used as a manually focused lens for all DSLR Nikon cameras, but it can not be used as an autofocus lens on all DSLR Nikon cameras.

Your lens does not have a focus motor. It can autofocus only with Nikon cameras that have a focus motor in the camera body. The D3x00 and D5x00 series, along with the older D40 and D60 do not have focus motors in the camera body. For more, please see Which Nikon DSLRs have an autofocus motor in camera body?

Your lens will work on your camera, but it will need to be manually focused. The seller may have technically been correct while intentionally being a bit misleading: it is an autofocus lens and it can be used as a manually focused lens for all DSLR Nikon cameras, but it can not be used as an autofocus lens on all DSLR Nikon cameras.

Your lens does not have a focus motor. It can autofocus only with Nikon cameras that have a focus motor in the camera body. The D3x00 and D5x00 series, along with the older D40 and D60 do not have focus motors in the camera body. For more, please see Which Nikon DSLRs have an autofocus motor in camera body?