No, it is not normal for the engine malfunction light to remain on after the engine is turned on. The engine malfunction light, also known as the check engine light, is an indicator that there is a potential issue with the engine or its related components. When the engine is started, the light should go off if there are no detected problems.
If you have recently purchased a Suzuki Gixxer SF FI and notice that the engine malfunction light remains illuminated even after starting the engine, it is advisable to have the bike inspected by an authorized Suzuki service center or a qualified mechanic. They will be able to diagnose the issue by connecting the bike to a diagnostic tool and retrieving error codes to identify the specific problem.
Ignoring a persistent engine malfunction light could lead to potential issues with the bike's performance, fuel efficiency, or emissions. It's always best to address any warning lights promptly to ensure the proper functioning of your motorcycle and prevent further damage.