The Uruguyan is currently serving a four-month suspension from football for biting Italy defender Giorgio Chiellini during the two sides' World Cup clash.
Fifa had initially ruled that he would be banned from all footballing activities, including training, but upon appeal, the CAS ruled that he could participate in friendlies and train normally.
Barelona announced soon after that the former Liverpool man, who completed his move to Camp Nou after the tournament's conclusion, would start training on Friday with a view to making his first appearance in the Gamper Trophy game against Leon on Monday.
Barca had been hopeful that the CAS would reduce his ban from playing all together, however it ruled that the length of his suspension was appropriate.
Suarez could make his competitive debut against Real Madrid in the season's first Clasico, which is due to take place on either October 25 or October 26.