"Brand presence" refers to how recognizable and influential a brand is among its target audience. It is a measure of how well the brand is known, remembered, and perceived by customers in the market. Full definition
They could see how popular our stand was and quickly realised our strong brand presence in the student market. (grb.uk.com)
Even with a strong brand presence on social media, your reach is limited to the connections that your brand can foster and build. (postbeyond.com)
Through licensing, brand owners can enter new categories practically overnight, gaining them immediate brand presence on store shelves and often in the media. (entrepreneur.com)