Batshuayi has largely disappointed at Stamford Bridge since his move from Marseille last season, despite scoring the goal that made the 'Blues' Premier League champions.
The 24-year-old has scored five goals in nine games in all competitions so far this season but has yet to find the net in the Premier League and speaking on 'Match of the Day', Wright believes that he lacks the intelligence of movement and hunger to score more goals.
'I said a couple of weeks ago that Batshuayi should be very disappointed that he [Conte] would rather put Hazard up there,' Wright said.
'The problem I have got with him is he is not working defenders hard enough to get some space to get a chance in the box, that's what he needs. He needs to make movements to get this space.
'When you watch him he doesn't move. His movement just doesn't have enough intensity about it, there's nothing in it. There were some fantastic balls [against Crystal Palace] but he was too late for many of them.
'That's what he has to do, he has to earn the space. When you look at the movement he does there's nothing in it. Those are the things where you're going to get goals if you're willing to put the work in.
'I think when a ball comes across you have just got to be willing to gamble and work hard to get the space, if he wants goals he's going to have to start working harder.'
The former England man drew contrasts with the performance of Tammy Abraham who scored twice for Swansea, where he is on loan from Chelsea, against Huddersfield on Saturday.
'Tammy set the tone straight away,' he said.
'What I really like about him is that he hits the target. I was hoping he would get some goals today to give him confidence. He worked hard and showed composure for his first goal and his movement today was superb.
'And I know Ayew is putting his hand up there and having a go but I would have done the same thing, he had to tap that in or the defender clears that off the line with ease.'
When asked to choose between the pair, Wright was in no doubt.
'With that movement, I'm taking Tammy all day long,' he explained.