The German international completed a £65million move to the Gunners from London rivals Chelsea earlier in the summer.
Havertz spent most of his time at the Blues in forward positions but was unable to become a regular scorer at Stamford Bridge,
Upon his move to Arsenal, Arteta hinted that the 24-year-old could be set to play a role in his midfield, a position he has played in before.
Woods appears to be on board with such a plan as Havertz's spell at the Gunners gets underway.
Speaking to TNT Sports, she said: "I think with Havertz, he's not a striker and I think you've got to play him in the right position.
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"If Arteta thinks that might be midfield, I'm fully trusting of Arteta. I've always been an Arteta, trust the process disciple.
"I've seen a lot of his interviews as well, his arrival interviews, and I know him obviously from Chelsea and I think he's a really great lad.
"I think the really important thing that Arteta actually talks about a lot when you interview him away from football, is how important it is that the footballers have the right attitude first.
"It's almost like attitude and then talent in a lot of ways, or perhaps on the same level."
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Woods then made the comparison to Newcastle star Joelinton, he arrived as a striker but now finds huge success playing in midfield.
"So if he's picked him out and thought, 'You know what, let's pop him in midfield', we've seen things like this happen in the Premier League before, like Joelinton.
"Wasn't very good up front, you drop him back a little bit and all of a sudden you've got this incredible new-born player.
"So we might have that with Havertz but to be honest, I actually thought he was great at Chelsea so I'm excited about that."
Havertz has made two appearances in pre-season friendlies for Arsenal since his arrival, scoring in a 5-0 win over MLS All-Stars.
He even had the last laugh having not scored a single goal in the All-Star Skill Challenge cross and volley drill, channeling his inner Frank Lampard.
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