You'd probably struggle on a conventional silica GC column - try using a PEG carbowax column. Make sure you have a good method to resolve your fatty acids/methyl esters, probably ramp it up fairly slowly, maybe 5 to 8 oC per minute, depending on how long your column is. For me, on a 30m column, the glycerol eluted between the C10 and C12 free fatty acids and between the C16 and C18 fatty acid methyl esters.
By GC you will need to derivatise glycerol with MTFSA, as in standard procedures and even use a cold on collumn injector because of discrimination (coul try splitless at high tenmperature but not as best), regards.
This method should work well, its easy too. But careful about chemical reagents - they are stable for 24 hours only. Buffer can be kept for long time. This works up to 40 ppm.