The 68-year-old admitted a decision had been made on the ex-Liverpool boss ‘about a month ago’ and praised West Brom chairman Jeremy Pearce for his conduct during proceedings
The West Brom boss was confirmed as the new Three Lions coach on Tuesday afternoon, signing a four-year deal to end months of speculation surrounding the vacant post.
Bernstein is delighted to have finally got his man, and feels the process has operated far more smoothly compared to previous appointments.
Speaking at a press conference on Tuesday afternoon, he told reporters: "I'm extremely happy. I think it's been handled very professionally.
"I think compared to some of the decisions we've had in the past with these appointments I'm very pleased indeed. We've handled it professionally, confidentially - we've always said we wanted to make the appointment around now, we've stuck to our timing.
"It's interesting that when we approached West Bromwich Albion, which was the end of last week, they had two conditions. The first was that we didn't talk to Roy until after the Aston Villa match, the second was he was allowed to manage for the last two matches. Which, in a way, I think emphasises the benefits of coming quite late into this.
"If we'd gone a month earlier, I suspect we'd have had a more difficult conversation."
Hodgson pipped the likes of Tottenham boss Harry Redknapp to the post, despite the latter being favourite with the bookies to land the job over recent months.
There were suggestions that the FA were motivated by financial reasons, given that Hodgson’s contract with West Brom was set to expire over the summer whilst appointing Redknapp could have triggered a £10 million compensation payout.
Bernstein, however, insisted that the decision was not motivated by money, adding: "Not it was not. We were driven purely by the desire to get the best person we believes is the best person for this position, and I've explained already, we are all unanimously of the view that this was the man to do that.
"This was definitely not driven by financial considerations."
The former Manchester City chairman admitted that they had made a decision on Hodgson "around about "a month ago" but they had delayed the appointment process so as not to cause a disruption to West Brom’s domestic campaign.
He was quick to praise Baggies chairman Jeremy Pearce for his part in the process, and revealed he felt the timing of the approach for Hodgson was spot on.
"We thought it was just too early, it would disrupt West Bromwich's season," he added.
"In fact, the reaction we got from West Bromwich, which was extremely cooperative - I'd like to commend their chairmen, the way he's behaved - but nevertheless told us not to contact him until they had a key match out of the way and they wanted him to continue for the last two matches.
"We think a month earlier, that would have been just a much bigger problem with the same sort of results and there was no benefit of doing it.
"I thought we got the timing absolutely right."