The Gunners have identified the former Chelsea star as a possible target as Mikel Arteta looks to bolster his attacking options this summer.
Arsenal sold Pierre-Emerick Aubameyang to Barcelona in January and have also sacked Alexandre Lacazette, who will join his former club Lyon.
England international Abraham enjoyed an impressive first season at Roma, scoring 27 goals in all competitions and helping Jose Mourinho’s side win the Europa Conference League.
Abraham scored 30 goals in 82 games for his boyhood club Chelsea but was deemed redundant after Romelu Lukaku’s £97.5million return to Stamford Bridge last summer.
While Abraham is happy in Rome, the 24-year-old has been heavily linked with a return to London as Arteta seeks to strengthen his Arsenal squad after a disappointing end to the season.
Asked about his England team-mate ahead of Saturday’s Nations League game against Hungary, Kane said: “Tammy is a great player.
“He’s had a fantastic season at club level and although he’s still learning he already has experience of the game.
‘Every time he comes here [on international duty]he works hard, he trains hard, he wants to impress the manager, he wants to score goals.’
Abraham is hoping to use the upcoming English Nations League fixtures to secure a place in Gareth Southgate’s World Cup squad.
After the clash with Hungary in Budapest, England will face Germany at the Allianz Arena and Italy, the Euro 2020 winners, at Wembley Stadium.
Last month Abraham insisted he was “more than happy” at Roma but refused to rule out a return to England this summer, he said BT Sport: “I would say I am more than happy here.
“Only the experience here, I only had the experience of the derby game. Derby games are big, of course, but here they filled the streets weeks before the game. That’s all they talked about.
“We had one game before that, you [the fans] didn’t even talk about this game, they said: “We have to beat Lazio”. Just the rivalry, the atmosphere in the stadium, everything is incredible.
“So I’m happy here. You never know what the future will bring, you can’t write the future, but so far I’m happy.’
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https://metro.co.uk/2022/06/04/harry-kane-delivers-verdict-arsenal-transfer-target-tammy-abraham-chelsea-roma-16768101/ Harry Kane delivers verdict on Arsenal transfer target Tammy Abraham | Soccer