The 10-time All-Star became its newest member Friday night at Yankee Stadium, where the Yankees and Red Sox opened a three-game set.
The experience, Suzuki told Yahoo! Contributor Network through his interpreter, felt like a dream.
"I was very excited," he said after New York routed Boston 10-3. "My first game at Yankee Stadium [as a Yankee] was against the Boston Red Sox.
"In Japan, you grab your cheek to see if it's real or not, if you're dreaming. That's really how I feel right now."
While Suzuki is still adjusting to his new team, wearing the Yankees pinstripes is nothing new to him.
"I used to have a Yankees uniform as a fan; I wore that in Japan," he said. "Also, in the 2001 All-Star Game, I traded jerseys with Bernie Williams, so I put that on before.
"Obviously it's very special."
Suzuki went 1-for-4 and scored two runs in his Yankees-Red Sox debut. As a Yankee, he is 4-for-16 (doesn't include Saturday's game) with a double and one stolen base.