In order to show at notable gallery you and your art have to be a total match. The quality of your art is only one step in the process. There’s also your resume, your reputation, your profile and standing in the art community, how you are to work with, your previous sales history, the quality of critical reviews of your past shows and much more.
You need to prove yourself over time and build your resume one line at a time, establishing consistent track records of successful shows. You need to convince gallery directors that you’re committed to making art. You must impress curators and critics. And you must demonstrate you’re capable of doing what’s expected – selling well and selling consistently. Galleries don’t establish artists’ reputations – they only enhance them.
Make sure any shows you are in, are listed in local events calendars and at places where art people tend to congregate. Get to know those in the art community who are most involved with your type of art. Slowly grow and nourish those relationships. Intern or volunteer at galleries or museums and over time you will get noticed.
Be aware that it is up to you to inform yourself as much as possible about the policies and practices of each individual gallery. Most galleries operate with a high degree of integrity, which is why they are able to stay open for lengthy periods of time thereby establishing a good reputation. However some galleries to slip through the cracks with shonky practices and usually the ones who suffer are the artists and in some case the collectors who buy through those galleries.I hear stories all the time and I have had my own experiences of galleries doing all they can to squeeze money out of the artist especially when they have poor sales.