Lazio appeared to be in pole position to land the 34-year-old but in an unexpected move, Silva signed with Sociedad on a two-year contract on Monday.
"I learned about David Silva's transfer to Real Sociedad. I have great respect for the player, but not for the man," Tare said.
"The sensations are very good. After the announcement, I have received many expressions of affection, messages from many people," Silva said.
"I've had quite a few offers in all this time. I decided on Real Sociedad because they are doing things very well. They have a style that suits my game very well. I know San Sebastian, it is a very beautiful and quiet city.
"My family had to do with my decision. I watched Real Sociedad games and they play very well. I also have very good references from the coach.
"We can do important things, there is a good group and for my conditions it is very good. It is a very nice challenge, I am looking forward to starting.
"Holidays help relax the head. I hope we finish the challenge well and I can do my bit to help the club win things.
"There is a great atmosphere, I already played in the old stadium and the grass was always spectacular. When you sign up for a new club, you want to get started. Now I will rest my mind and then start with my batteries charged."
Silva will play in La Liga for the first time since the 2009-10 campaign, his final season with Valencia before he left to join Man City.