Sir Ian told the BBC on Wednesday that Shein being listed in London could mean the UK could influence the firm.
He said the London Stock Exchange had a “good set of controls and quality requirements”, adding companies “can’t just show up and be accepted with open arms”.
“I would always vote for companies coming to London to be on the responsible side of the [green] transition and moving in the right direction,” Sir Ian said, adding that another stock exchange “might just let them do what they want”.
Sir Ian said there were “lots of difficult decisions and nuances” when assessing companies for their environmental impact, such as oil and gas firms.
In response to critics arguing that Shein had an unfair advantage on import charges, Sir Ian said that large numbers of UK clothing retailers bring in clothes from China, Bangladesh, and India, for example, and pay duties on large containers.
Shipments worth less than £135 sent directly to UK shoppers do not currently face import duties, but firms bringing in larger consignments do.
He said if there was a “mismatch” where small packages do not pay import duty, the government should look at it.
He added the rules were set up like that “because it was too difficult to track every parcel back in the day”, but “now we’ve go the technology”.
“If you think that’s a problem, then the government can fix it,” he suggested.
On Tuesday, Mr Dunkerton also said Shein was a “complete environmental disaster”.
“Personally, I would force them into paying import duty, VAT and possibly even an environmental tax,” he told the BBC.
Shein has previously said it complies fully with all its UK tax liabilities.
The firm has been contacted for comment.
