The club, which is owned by billionaire Russian Roman Abramovich and won the last Premier League title, has noted that applications from young males outnumbers those from women by five to one.
Having reportedly just paid the highest amount for a female player, in the form of England striker Karen Kirby, Chelsea hopes this will become more even as further applications come in.
Students taking part in the 16-month apprenticeship will receive access to a combination of an FA coaching course, academic study and a paid work placement with employers in the city.
Kirbys fellow Chelsea teammate Eniola Aluko commented: The World Cup was a fantastic opportunity to raise the profile of the womens game and we hope it will also encourage young women to strive for success in other areas.
Football coaching is only a small part of Chelseas new accounting apprenticeship, which involves studying for an accounts qualification and a paid work-placement with a top employer. We hope that the World Cup will inspire as many young women as possible to join the male applicants at our apprenticeship open day at Stamford Bridge.
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The origins for the Chelsea apprenticeship stem from social mobility charity Leadership Through Sport & Business (LTSB), an organisation working towards transforming the lives of young people from disadvantaged backgrounds. Already working with other clubs including West Ham and Leyton Orient, LTSB plans to soon launch with Birmingham and Aston Villa.
Speaking when the apprenticeship was first unveiled, Louise Marriott, further education curriculum manager at the Chelsea FC Foundation, said: This apprenticeship offers a rare opportunity for young people to succeed in a competitive sector with Leadership Through Sport and Business innovative approach to supporting each individual on their journey to successful completion and a career through a comprehensive leadership development plan.
Chelsea FC Foundation believes strongly in supporting their local community to excel in life and business and this opportunity is fundamental in enabling the Chelsea FC community to be successful within finance and banking sector.