Swansea looked destined for the drop come the turn of the year but the appointment of Paul Clement, who took charge on January 3, helped turn the club's fortunes around.
The Welsh outfit claimed 29 points in the second half of last season, a club-record in the Premier League era, as they climbed out of the bottom three to finish 15th, seven points better off than Hull City in 18th.
Rangel, who featured 18 times in the league last term, is hoping his team-mates can continue the momentum and start life off this year in better fashion.
"We hope to carry on that momentum from the end of last season," he told the club website. "That was a point we made at the end of last season and again at the start of pre-season.
"Hopefully we can get a few points on the board in the first few games of this season. If you do that, it makes things easier as you go on."