* Larger wheel wells: The 22" wheels and tires would likely rub against the fenders and bodywork. You'd need to modify or replace the fenders to accommodate the larger diameter.
* Suspension modifications: The larger wheels and tires would change the ride height and handling. You'd probably need to adjust or replace suspension components to prevent rubbing and maintain a safe ride.
* Offset adjustments: The offset of the wheels (how far the mounting surface is from the centerline of the wheel) is critical. A 22" wheel would require a very specific offset to clear everything and prevent rubbing. You'd likely need custom-made wheels.
In short, while *technically* you might *be able to* fit 22" rims with extensive modifications, it's highly impractical, expensive, and likely to compromise the car's safety and handling. It's not a recommended modification for a 1996 Cadillac Fleetwood. Sticking to factory-recommended or slightly larger (but still reasonably sized) rims is the best way to ensure a safe and functional vehicle.