Following a 2-0 win over Poland at Wembley Stadium earlier in the month England sealed their place at next summer's World Cup in Brazil.
Hodgson, who was present at the Football Association's 150th anniversary gala, revealed the Prince once again offered his congratulations but steered clear of predicting any success in South America.
"We obviously spoke about the qualification," said Hodgson.
"The Prince has been a tremendous supporter all the way through and has been up at St George's Park to meet us and I have thanked him for that once again this evening.
"He sent me a letter to congratulate us on the qualification and has also just given his congratulations once again and praised us on achieving the goal we set out to reach Brazil."
Hodgson, who also managed England to the quarter-finals of Euro 2012, confirmed the qualification as group winners made the FA's birthday celebrations an easier place for him to be.
"It [qualification] has put the cherry on top of the cake of such a fantastic evening," he added.
"It would have been a tough night for me if we didn't qualify. We didn't talk about Brazil and our expectations, that is for another time."