Solanki was born in Udaipur, Rajasthan, India, but moved to Wolverhampton with his family at the age of eight. Solanki played junior and senior cricket for Wolverhampton cricket club and education from Regis School, Wolverhampton.

He made his first-class debut for Worcestershire in 1995, although he had played one-day cricket for the county two seasons earlier. In 1996 he was awarded the NBC Denis Compton Award. Although principally taken on by Worcestestershire as a batsman, on his first-class debut, due to there being no fit spinners available, he was selected to bowl his off breaks — something he had done with a degree of success the previous winter while on tour with England U19. Although generally an occasional bowler, Solanki produced a ten-wicket haul, five wickets in each innings, against Lancashire at Old Trafford in 1996. In 1999 he achieved a batting average of over 40, something he repeated in 2000, 2002, 2004 and 2006. 2006 was also the first season since 2000 in which he managed to top 1,000 first-class runs, making 1,252.

Together with Worcestershire teammate Kabir Ali, Solanki accepted an offer to play for Rajasthan in the Indian Ranji Trophy during the 2006–07 season. Solanki joined the Indian Cricket League (ICL) in 2007, he made six appearances for the Mumbai Champs in his single season of ICL.

England A tours

Solanki was picked for two England A tours: to South Africa and Zimbabwe in 1998–99, and to Bangladesh and New Zealand in 1999–2000. His fine performances on these latter tours led to his making his full One Day International debut against the South Africans later that same winter. However, he was unable to translate his A-team feats into runs for the senior England side, and after eight innings yielding just 96 runs, he was dropped and not picked again for more than three years.

Solanki was also an occasional bowler of off-spin for Worcestershire, although he has only bowled a handful of overs for England. Worcestershire appointed Solanki as captain of the county for 2005, succeeding the retiring Steve Rhodes. In September 2006 he agreed an extension to his contract which saw him remain at the county until 2009. Following a defeat by Glamorgan on 12 August 2010, he announced his resignation as captain with immediate effect stating that "it was time for somebody else to be at the helm".

After showing good form in the first half of the 2009 season Solanki was called up to the England Lions squad for their fixture against Australia.

In July 2012, it was announced that Solanki would leave Worcestershire at the expiry of his contract in September, and join Surrey on a two-year contract. He announced his retirement from the first-class game at the end of the 2015 season, during which he played in only one County Championship match.