The phrase "a relatively small player" is correct and usable in written English.
It can be used to describe an entity, such as a company or organization, that has a minor role or influence in a particular market or industry.
Example: "In the competitive tech industry, our startup is still considered a relatively small player compared to the giants like Apple and Google."
Alternatives: "a minor participant" or "a limited player".
Edexcel is a relatively small player, she says.
Veritas was a relatively small player in 2001, looking to grow through acquisitions and Pentagon contracts.
Its own fledgling offering, Google Video, remains a relatively small player.
Boston-based New Balance is a relatively small player in the booming American running shoe market.
Eyes are rolling, especially in reaction to the idea that Google is a relatively small player in a giant market.
Sony's deal for EMI's music publishing catalogue carries far fewer regulatory risks because Sony is a relatively small player.
It would be fair to say that for a relatively smaller player 7digital has played one of the savviest games in the digital downloads market in the UK to date, especially in moving away from DRM. Covering the UK, Ireland and Germany, 7digital also provides branded digital solutions for clients such as ITV & Channel Five, Pringles, Miller, Last.FM & Bebo.
In other words, for the aforementioned example it is considered that the motion pattern of the rally event comprises relatively small player movements that are periodically interrupted by intense camera motions (i.e. when a team's offence incident occurs).
But California's complex power buying mechanism has created a situation in which relatively small players have extraordinary influence.
BeneCard has remained a relatively small niche player in the industry, however: it has 18 employees working out of a headquarters in a suburb of Trenton.
But Alltel, larger than VoiceStream though still a relatively small wireless player, has been strangely absent from the speculative talk on which wireless companies will be the next takeover targets.
