Silverman will reunite with Philip Gawith, former chief executive of Maitland and co-founder of Stockwell.
At Maitland Silverman advised companies including Cable & Wireless Communications, Close Brothers Group, ICAP, Man Group, SVG Capital and UK Financial Investments.
Julian Hanson-Smith, co-founder of FD and chairman of Stockwell Group, said: 'Anthony has significant experience as a strategic comms adviser.'
Silverman joined Maitland in mid-2007. Before that he spent two years at Powerscourt and five years at Finsbury.
Stockwell's other founders are Tim Burt, a former partner at Brunswick, and Nick Boakes, former comms director at Friends Provident.