Semedo, 26, joins the Premier League club on a contract until 2023 after spending three years at Barcelona, having won two La Liga titles and the Copa del Rey.
"I chose Wolves because it's a very good team that plays very good football," Semedo said. "Last year they did a very good season and it's a very important team in England, in also Europe. I hope this year we can do very good things.
"Coach Nuno is a very good coach. He did very good things here in Wolves, and in other teams too. For sure I'm going to learn a lot from him.
"The team did very good things the last three years. I'm ambitious and I hope this year we can do very good things, reach the top six and, if it's possible, do something special.
"I'm very happy to be here. I'm excited to get started and thank you very much for your support and we're going to enjoy it together."
"They can expect a modern right-back, who likes to attack," the Portugal international added. "I can bring the team pace, speed. I like to go forward and come back. They can expect a lot of work and a lot of ambition.
"I'm very excited to be here. It's a very good team. To play in the Premier League is a dream from me too. So, I'm very excited to begin, to meet my teammates and start training."
Barcelona boss Ronald Koeman opted to sell Semedo in order to raise funds to overhaul his squad.