Libya were knocked out of qualifying for next January's Nations Cup finals by Rwanda in the first round.
Transfer deadline day - The 29-year-old played for the Dutch club between 2008-2012, spending the first half of 2011 on loan at United Arab Emirates side Al Ahli.
The 27-year-old, who helped Roma finish second in Serie A last season, had been linked with a move to Premier League sides Chelsea and Manchester United.
Barrada started his career at Paris Saint-Germain before making his name in Spain with Getafe. The 25-year-old scored 15 goals in 34 appearances for Al Jazira last season.
Zaki takes charge of the Atlas Lions for the second time in his career.
Fixtures and results for the 2014 Confed Cup.
2013 champions: CS Sfaxien (Tunisia)
Winners advance to group stage
The final draw for Morocco 2015 will be held in Rabat on 26 November.
Sochaux coach Herve Renard has distanced himself from reports he could become the next coach of Morocco.
