For optical short pulse with high frequency, it is needed to improve the pump power to obtain more shorter pulse; but, as increasing of the pump power, the gain of the amplifier is becoming saturated, and amplified spontaneous emission noise (ASE) is increasing, so signal to noise ratio (SNR) is decreased. A scheme of pulse compression through fiber-optical parametric amplifier and chirp management is proposed. First the pump light is phase modulated after intensity modulation to introduce linear positive chirps, after the parametric progress the frequency chirps of the idler are doubled, so its spectral width is increased, the pulse can be compressed through dispersion compensation medium. The experimental results of 10GHz operation is demonstrated, with 0.5W average pump power and phase modulated pump power, idler pulse is observed with 19ps pulse width.