According to MTNfootball.com , Zambia return to action this weekend for the first time since their AFCON title defence flop when they visit Lesotho in a Brazil 2014 FIFA World Cup qualifier.
"We have to go all out because we were very disappointed at the AFCON," Mbesuma said.
Zambia failed to win any if its games at the Africa Cup in South Africa bowing out of Group C with three draws.
"I think we need to prove this time that we are a better side that we did not win AFCON by luck now we need to work hard," Mbesuma said.
Mbesuma scored one of Zambia’s two goals at the tournament with the other coming from goalkeeper Kennedy Mweene via a penalty.
Meanwhile, Zambia lead Group D on six points and Ghana are second on three points.
Sudan are third on one point after being docked three points for playing an ineligible player in a 2-0 win over Zambia on June 2 in Khartoum.
Lesotho is bottom of Group D on one point heading into their third round pool matches in the CAF zone qualifiers.