The mural was painted on a wall in the town of Margate, England on Monday.
The chief executive of London-based Red Eight Gallery, Julian Usher, confirmed that the homeowner had instructed the gallery to conduct a "safe removal" of the artwork and said the move would be "doable" but "complicated" because it would require cutting a 2-by-3 meter (6.5-by-10 feet) section out of the wall, as cited by the media.
The painting might be displayed in Margate's Turner Gallery, but the information has not been confirmed yet, the report added.
Banksy, whose real identity is still shrouded in mystery, has been active since the 1990s and is widely considered an artist who changed the mass perception of street art. The artist's works, drawing attention to political, military, capitalist, moralization and other issues, are usually removed together with a wall or a visible surface they were painted on.