The 26-year-old has joined Swansea on a free transfer until the end of the season, subject to Premier League and international clearance.
Tiendalli has revealed that former Feyenoord team-mate Jonathan de Guzman encouraged him to join Swansea.
He said: "I spoke with Jonathan about the club and all he said was positive things.
"He talked very fondly about the people, players and fans here.
"And, of course, the style of football here is very, very attractive. I love this style and it was a big attraction for me.
"I'm looking forward to working under Michael Laudrup, who is a massive name in football, and showing him what I have to offer.
"Playing in the Premier League is something I have always wanted to do - it's the best league in the world.
"I'm sure I will fit in very well because I share the same philosophy as the club. Having started my career in Ajax's Youth side, I see the style of play here is one that has a real Dutch and Spanish mix, and that will really suit me.
"I can't wait to work hard in training and try to force myself into the starting XI."
"I am here to impress the manager as much as possible and try to play as many games as I can," added Tiendalli.
"I know my opportunity comes after an unfortunate injury for Neil Taylor, but hopefully I can bring experience to the squad and more options for the manager.
"It would be great to play on Saturday against Aston Villa, but my concentration first and foremost is to impress the manager in training and get used to my new team-mates."