The brother of Norwich's Damian Batt, Shaun came to the Canaries on trial in July 2003 and played for the Under-19s in a friendly clash with Colchester on 20th July 2003. Shaun was then playing for Stevenage Borough's youth team although he has played for their first team.

In October 2004, Shaun joined Arlesey Town on loan. He returned to Stevenage only to be loaned out for three months to Cheshunt at the end of January 2005 for whom he made two appearances..

Shaun joined Dagenham and Redbridge, from whom he was loaned to Ilford in August 2005 according to the Non-League Paper. He has since returned to the Daggers. Another loan spell at the end of 2005 with Leyton preceded a January 2006 loan to East Thurrock United where he remained until the end of the 2005/6 season.

The 2006/7 season saw further loans - this time in November 2006 to St Albans City, and the following month to East Thurrock United. Shaun was placed on the transfer-list at the end of the 2006/7 season following the Daggers promotion to League Two. In June 2007, he signed for Fisher Athletic.

In July 2008, Shaun trialled with Peterborough, playing in a pre-season friendly against Stevenage. He was then awarded a one year contract on 28th July 2008. At the end of his first season, Peterborough were promoted to the Championship, having played in 36 matches and scoring twice.

In January 2010, Shaun was loaned to League One side Millwall and was on the bench for their 2-1 win over Norwich on 6th February 2010. He was in the Lions' side that won the League One play-off final at Wembley at the end of May 2010, beating Swindon 1-0 and winning promotion to the Championship. Batt signed a permanent three-year contract with Millwall for an undisclosed fee on 15th June 2010

On 21st February 2012, Shaun joined Crawley on loan for an initial 36 day period. He had been injured and so needed to gain match fitness.

Shaun was loaned out by Millwall again on 31st January 2013, this time joining Leyton Orient for a month. He had made 11 appearances for Millwall during the 2012/13 season, scoring once.

Batt signed for Leyton Orient on a 2 year contract on the 24th June 2013

Batt and Orient were relegated to League Two on 3rd May 2015 despite a 2-2 draw with Swindon. They had only narrowly missed out on promotion to the Championship the season before losing the play-off final to Rotherham on a penalty shootout. Batt's contract is to expire in the summer of 2015. He signed for Barnet on 9th July 2015. "It is a good club with great facilities and I am looking forward to getting some stability back in my career," said Batt. "In terms of circumstances, it is a great club for me and I knew that it is the right place for me to be.The guys had a great year last year (winning promotion into the Football League) and I am more than happy to play a part in what will hopefully be another successful season."

Batt was made available for transfer by Barnet in May 2016. He was released in May 2017 and signed for Chelmsford City on 10th July 2017 following tremendous work by the Supporters’ Club’s `12th Man` fund.

In September 2018 he joined East Thurrock United. After relegation at the end of the 2018/19 season to the Isthmian League, Batt left the club and announced his retirement.