Guild Esports, which focuses on computer games such as Counter Strike and Fortnite, has pencilled in a float on the London Stock Exchange this autumn.
The initial public offering will be the first for an esports franchise in London, Guild said on Wednesday.
It comes amid the growing popularity of watching computer and video games tournaments.
Last year around 443 million viewers tuned into esports games, and in 2017 one League of Legends championship attracted a peak audience of 106 million.
Guild will be the first esports franchise to join the London stock market, which will provide us with the cachet, credibility and capital to fulfil our ambition to become one of the world's top 10 esports franchises within three years
Former Manchester United and England star Beckham is a founding shareholder and is represented on the company’s board.
It will help the retired footballer tap into a market which is projected to be worth more than one billion US dollars (£770 million) this year, and some 1.5 billion US dollars (£1.2 billion) in 2023, according to data from Newzoo and Statista.
Guild focuses on building esports teams to compete in major tournaments and wants to establish a training and scouting programme modelled around Premier League football clubs.
Its teams will focus on four games – Fortnite, CS:Go, Rocket League and Fifa.
Executive chairman Carleton Curtis said: “The growing global popularity of esports has enabled several existing franchises to monetise their activities through sponsorship, retail, merchandising, apparel and product licensing, new media and mobile, broadcasting, and tournaments.
“Guild will be the first esports franchise to join the London stock market, which will provide us with the cachet, credibility and capital to fulfil our ambition to become one of the world’s top 10 esports franchises within three years.”