Ahead of the four-week lockdown, the club recently announced the departures of Tom Warren and latest signing and striker Chris Holroyd.
The club also announced the arrivals of left-back Eddie Clarke and experienced centre-half Phil Edwards.
Summer signings Carney and Amado have now left the club.
Left-back Amado has made five appearances since joining from Trafford and started Tuesday's 3-1 defeat to FC United.
Midfielder Carney featured heavily in pre-season but only made one appearance once the competitive action started – a cameo as a substitute in Saturday's FA Trophy victory over Lancaster City.
Keep up-to-date with our exclusive email newsletters.
Subscribe