In this work the power transient control in cascades of Hybrid Amplifiers (HAs) is investigated. Two hybrid configurations are considered: a backward pumped DFRA preceding an EDFA and a forward pumped DFRA ahead of an EDFA. In both cases the EDFA in forward pumped. When 17 out of 20 channels are dropped/added, the steady state power excursions of the surviving channels were reduced from 4.21 dB and 6.25 dB to 0.01 dB and 0 dB, for a single HA under configurations "EDFA + backward DFRA" and "forward DFRA + EDFA", respectively. When a cascade of 12 HAs (1800 km) is studied, the steady state output power excursions were drastically mitigated from 8.66 dB to 0.07 dB and 0.60 dB, for the same hybrid configurations, respectively.