Mr Martin, an outspoken supporter of Brexit, told the Daily Telegraph: “The UK has a low birth rate.
“A reasonably liberal immigration system controlled by those we have elected, as distinct from the EU system, would be a plus for the economy and the country.
“America, Australia and Singapore have benefitted for many decades from this approach.
“Immigration combined with democracy works.”
New rules post-Brexit have made it much more difficult for EU citizens to be able to come to the UK and work in low-skilled jobs, such as those in the hospitality sector.
“Other people are not moving back here because of the situation with Covid.”
The Home Office said that employers should look to British workers to help fill job vacancies.
However, a spokesman said it was making it “simpler” for employers to attract talent from around the world “to complement the skills we already have”.