How do you reset the oil life indication on a 1997 corvette?

The 1997 Corvette doesn't have an oil life monitoring system like many newer cars. There's no electronic oil life indicator to reset. Instead, you'll need to rely on the owner's manual's recommended oil change intervals (typically based on mileage, but possibly also time). Consult your owner's manual for the specific mileage or time interval for your Corvette's engine. Once that interval is reached, you change the oil and filter. There's nothing to reset.