Swansea play host to the Baggies on Saturday and both sides are languishing dangerously close to the Premier League drop-zone.
Only goal difference separates West Brom from the bottom three, while Swansea are just four points adrift from Cardiff in 18th place.
Spaniard Mel is under increasing pressure having not yet won a league match since being appointed in January, but his compatriot Rangel admits there is no room for sentiment in a relegation dogfight.
"He's under pressure at West Brom because he hasn't won a game and in British football you see managers getting sacked all the time if they don't win games," said the defender.
"That's what happens, but if he gets sacked it's not our problem. We have to concentrate on survival.
"It's not easy because he doesn't know the club and he doesn't understand British football very much and if he doesn't speak a lot of English it's going to be even harder."
Swansea also recently changed their manager, with Garry Monk replacing Michael Laudrup at the helm in February.
Monk has fared a bit better than Mel, collecting five points from four matches, and Rangel is confident he can steer the club to safety.
"For Garry, it's not easy either, but he knows the club and has got all the qualities to be a great manager," Rangel said.
"We need to work hard and make sure we stay up - that's the target. Who knows how many (points) we will need?
"We have a lot of games at home against teams around us, which is the most important thing: the next one is West Brom and that's going to be a massive game for us."