The two countries meet in the pool phase of the Champions Trophy at Cardiff on Tuesday, with England having launched a tournament featuring the world's top 50-over sides with a dominant eight-wicket win over Bangladesh at the Oval on Thursday.
However, they lost seam-bowling all-rounder Woakes for the rest of the tournament after be broke down with a side strain having bowled just two overs at the start of the match.
Meanwhile Jason Roy saw his run drought continue, with the England opener having now managed a mere 34 runs in six one-day innings since the start of the season.
But Boult, involved as New Zealand were denied a possible win over familiar foes Australia when their tournament opener at Edgbaston was washed out on Saturday, reckoned England were still a formidable side.
"Woakes is a massive player for them, he's played extremely well for them over the past few seasons, but I'm sure they have the depth to replace him," he said.
"Roy is in a bit of a low period too but I presume England are going to persevere with him. "We know what he's capable of, he's a destructive batsmen.
"We're preparing to face a quality England side," added Boult.
England and New Zealand boast two of the world's best batsmen in Joe Root and Kane Williamson respectively and they each scored a hundred in their teams' opening Champions Trophy clashes.
Williamson rarely looks anything other than serene at the crease and Boult said: "He's arguably the calmest man alive. He gets more flustered on what to wear on a dinner date with his missus than he does on the field.
"That's the most positive thing about him, he stays on a level -- he's not too high when it's going well or too low when it's not."
Saturday's washout didn't do either side many favours and Australia all-rounder Glenn Maxwell, whose team play England on June 10 said: "It's basically a knockout for us now.
"I think we play pretty well in these situations usually so hopefully we have a good win against Bangladesh and then it's probably a big decider against England.
"Bangladesh is still a big game because they pushed England all the way to the end so we've got out work cut out to make sure we get that decider," he added.
First Published: June 4, 2017, 10:02 AM IST