Spaniard Mel, who succeeded Steve Clarke in January, will meet with Albion chairman Jeremy Peace and technical director Richard Garlick next Monday after the club was ensured of its Premier League status at the weekend.
Mel, 51, signed an 18-month contract with a six-month get-out clause for the club, but the former Real Betis boss wants to stay and build long-term success in the West Midlands.
He said: "The most important thing was to get the team out of trouble. My ambition when I first came was that West Brom would be in the Premier League come May 12 - so I have achieved that.
"Now I have a different one, I want to carry on improving the club. I need to listen to what the chairman has to say and I want to know what he has in mind for the future of this club, what his plans are.
"But I'm also an ambitious person and I want to be able to put forward my own arguments to take this club forward. If I'm the West Brom manager next season, everything will have to be done hand-in-hand, together.
"If I am the manager to move this club forward then certain talks will be had with certain players. It is important for every single player to know who the boss of this club is."
West Brom travel to Sunderland for their penultimate game of the season on Wednesday and Mel, whose only doubt is defender Steven Reid, insists his side must continue their professionalism for the remaining games.
"This is still a massively important game," he said. "We want to show our respect to the competition and to the opposition so our only focus will be to win."