Cotter played 10 international games for the New Zealand men's national softball team between 1980 and 1984.[5] A powerful batter, he has been described as "one of the greatest softballers produced by New Zealand".[4][6]
Since Cotter's death, the Jimmy Cotter Memorial Trophy has been contested in representative rugby matches between Wairarapa Bush and Wellington.[1][8] Cotter was inducted into the Softball New Zealand Hall of Fame in 1998.[9] Another Jimmy Cotter Memorial Trophy is awarded by Softball New Zealand to the emerging player of the year.[10]