Sorry, I called it a sock filter, as it just slips over the end of the fuel pick-up line. Corvette Central calls it a "Gas Tank Meter Strainer", part number 362209.
http://www.parts123.com/corvettecentral/partsort.pta?catalog=cadefib&partno=362209
If you replace the strainer, you probably will need the gas tank meter gasket also. Corvette Central part number 363164.
http://www.parts123.com/corvettecentral/partsort.pta?catalog=cadefib&partno=363164
Any of the Corvette parts dealer should have these parts, I used Corvette Central as an example, so please don't think that they are the only source. For that matter, your local parts house or Chevrolet dealer may have the strainer.
HTH, good luck with your car. Any other questions, just post them here.
Bob
Note: I am not in any way associated with Corvette Central except as a long term customer who has spent enough with them over ther years, I should be a stock holder.