The Baggies manager is pleased to pick up the victory after his side missed several chances, including a penalty, and praises the performances of Peter Odemwingie and Shane Long
The Baggies claimed a 1-0 victory after Peter Odemwingie’s early goal, although the Nigeria international went on to see his second-half penalty saved by Canaries goalkeeper Declan Rudd, setting up a tense finale.
Hodgson told Sky Sports: "We didn't score the second goal and we had the opportunities, a couple of near misses and a penalty too, and when that doesn't come you know you're going to be in for a tough last 10 minutes.
"You know the ball is going to be in and around your penalty area at every juncture and you hope it goes kindly and your defence stands firm."
Hodgson rested internationals Chris Brunt and James Morrison following national team duty, replacing them with Jerome Thomas and Graham Dorrans. He also started strikers Peter Odemwingie and new signing Shane Long together up front for the first time.
Of the strikers’ performances, Hodgson said: “I thought for the first 60 or 70 minutes they were very, very good, but maybe tiring or the penalty miss, the last 20 I don't think they did as much.
"I am disappointed we didn't pass the ball better there [in the final 20 minutes], but it would be wrong for me to be disappointed at a win against a Norwich side who are hard to beat here."
Tensions rose in the final minute when home fans called for the dismissal of Gabriel Tamas after his elbow connected with Norwich striker James Vaughan.
Hodgson added: "In real time I had no view, and I looked at the video - but it is accidental - he caught him but it was unintentional, he could be accused of a clumsy turn but that is it - he [Vaughan] has my sympathy as it hurts whether it is meant or not."
Regarding the penalty, the Baggies boss said: "I am not used to seeing penalties missed as I had Danny Murphy [at Fulham ] who never missed, now I have seen Brunt and Odemwingie miss here, and then we had our penalty taker Graham Dorrans leave the field a few minutes earlier.
“But I am not complaining about anything today, I will consider myself happy with the victory."