The 24-year-old came under a shower of missiles as he was carried off on a stretcher after injuring his knee during the FA Cup third-round tie at the Emirates Stadium on January 4.
Stewards and St John Ambulance staff were also hit by the coins, in a confrontation that saw Walcott, whose injury has sidelined him for six months, make a "2-0" gesture with his hands in retaliation, referring to the scoreline in the north London derby at the time.
Scotland Yard has now released grainy pictures of the three men suspected of throwing coins.
A statement read: "During the match, an Arsenal player on a stretcher, medical staff carrying him and stewards were struck by coins and other missiles thrown at them from a section of the crowd occupied by Tottenham fans.
"The player and stewards received minor injuries as a result. Officers from the Metropolitan Police launched an investigation and have now identified three men they would like to contact."
Police are also investigating anti-Semitic tweets, that referred to the Holocaust, that were posted after the match.