By numerically solving the extended nonlinear Schrdinger equation, it is shown that Raman-induced self-frequency shift (RIFS) can be manipulated by third-order dispersion (TOD) in photonic crystal fibers (PCFs). In the anomalous dispersion regime, RIFS can be decreased by the positive TOD and enhanced by the negative TOD, respectively. The enhancement of RIFS by negative TOD can be suppressed by the spectral recoil effect. The variation of peak intensity and profile of input pulse plays an important role on RIFS. In the normal dispersion region, the influence of TOD on RIFS is nonsignificant due to the rapid temporal spreading.