Wright, the strategist behind many wins of the newly resurrected Indian team, says he just plays a "support role" in the team.
"I am just in a support role in the team... Publicity sort of terrifies me," he said in an interview to Shekhar Gupta on NDTV's 'Walk the Talk'.
As a understated coach he said that it was very important to keep a tight reign on one's emotions.
Answering a question on the emphatic gesturing of Pakistan coach Javed Miandad towards his team during the matches, Wright said that "as a coach, keeping my emotions under control is probably the toughest thing."
On the issue of Sachin missing out on his fourth Test double ton when stand-in skipper Rahul declared the innings at Multan with the batting maestro unbeaten on 194, Wright conceded that it was not short of a disappointment to the 'little master'.
"It is but natural," he said. "Had I come close to 190 runs and then had to go out I would be disappointed too."
However the New Zealander brushed the issue aside saying that "there was no problem though. We have sorted that out.
Wright, who has been with the squad for over three years now, said the side has emerged as one of the top team over the years.
The Indian coach attributed this mainly to the rising level of fitness of the players that he credited to the team physician Andrew Leipus.
"He (Leipus) doesn't get the credit he deserves. He has done a fantastic job," Wright said. "Before I joined the team fitness was a big issue. The players are also changing that way and we can say that we have the fittest Indian team so far."
Wright heaped praise on the young entrants in the team, the likes of Mohammed Kaif, Harbhajan Singh and Yuvraj Singh.
"I am really impressed with the competitiveness of the youngsters. They have really made the difference."
Reflecting on how Sachin and Dravid have changed their game and evolved as better players, he said, "they have come a long way."
"Sachin is his own great coach and a huge leader. He is one of the world's best," Wright said.