As a young married couple, their shared maritime training gave them the idea to choose the unique Hebrew first name Manor for their son, that also means "a boom" in sailing.

[15] On 26 November 2016, at the age of 17, Solomon made his senior debut for the Israeli Premier League club Maccabi Petah Tikva, coming on as a 54th minute substitute against Hapoel Haifa that ended in a 2–1 away loss.

[22][23][24] After moving to Shakhtar, Solomon scored his first UEFA Champions League goal on 1 October 2019, in the 95th minute of an away match against Italian side Atalanta that ended in a 2–1 victory.

[25][27] Solomon continued his good Champions League form in the following season, scoring Shakhtar's third goal on 21 October 2020 in a 3–2 away victory over Spanish side Real Madrid.

[38] On 7 January 2023, having recovered from a knee injury, he made his FA Cup debut for the club during their third round 2–0 away victory over Hull City, coming on as a second-half substitute.

[39][38][40] On 11 February, Solomon scored his first goal for the club, coming on as a 72nd minute substitute in their Premier League match against Nottingham Forest, securing his team a 2–0 home win.

[50][47] He made his professional league debut for the club on 19 August, coming on as a late substitute for Dejan Kulusevski in a 2–0 home victory over Manchester United.

[58][59] On 7 September 2018, Solomon made his senior debut for the Israeli squad at age 19, coming on as a 71st-minute substitute in a 2018–19 UEFA Nations League away match against Albania that ended in a 0–1 away loss.

[62] On 10 June 2022, during a 2022–23 UEFA Nations League away match against Albania, Solomon scored a brace, bringing Israel back from a 0–1 deficit to a 2–1 win in just 16 minutes.