The 34-year-old cited a need to follow a detailed pre-planned training programme as his reason to pull out of Hodgson's squad for England's fixtures against San Marino and Montenegro.
Hodgson expressed his "disappointment" at Ferdinand’s snub, but the defender insists it will not count against him for future England matches.
"The manager has made it clear he will consider me for other England squads," Ferdinand told Al Jazeera Sport.
Ferdinand was working as a pundit for Al Jazeera Sport for England's 8-0 victory over San Marino but the Manchester United centre-back was on the receiving end of abuse from a section of fans on Friday evening.
Hodgson, meanwhile, was coy on the subject of another call-up for Ferdinand, expressing concern over the defender’s injury problems and what effect international exposure could have on him.
"I think we should wait and see,” the England boss told ITV. “It's more a question of whether his injury situation will impact upon him playing for England. We will have to wait and see what happens in the future."