Wilshere has been a revelation for Arsenal since returning from long-term injury and Hodgson is looking forward to the midfielder having a similar impact for England.
After making a 28-minute substitute appearance in England's last game against Sweden, Wilshere is now ready to start against Brazil at Wembley on Wednesday night.
"Expectation is a testament to the fact Wilshere is just a very good football player," said Hodgson. "If you are a very good player, expectations are high.
"I watch him play and think, 'This is a very good footballer - if this man can produce this level of football, it's a great boon'.
"Wilshere has got the personality, the character and the quality to accept responsibility, to accept the pressure. I foresee a fantastic England career for him.
"From what I've seen on the field and the little time I have spent with Jack, I'm really looking forward to working with him and in years to come I'm pretty certain he does have the wherewithal to match expectations."