A Russian state-funded news agency RT video shows Salah smiling as Kadyrov gives his speech and pins a badge bearing the Chechen flag to the Egyptian international's shirt.
He said he was particularly annoyed with a team banquet hosted by Kadyrov, who used the dinner to grant Salah "honorary citizenship".
Mohamed Salah has apologised to Egypt's fans after their elimination from the World Cup Monday.
"Muhammad Salah is an honorable citizen of the Chechen republic!"
Images also surfaced of a smiling Salah sitting alongside Kadyrov as he made a speech in a ceremony in which the leader, who enjoys Kremlin backing but is now under US sanctions, later pinned a Chechen flag on the player's shirt.
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Coach: Adam Nawalka - Turned Poland from a counter-attacking team into one which seeks to dominate possession. Goals are rarely in short supply when Poland play as their 10 qualifiers averaged more than four goals.
So much so, that he now seems to be reassessing his future with the Egyptian national team.
But the team was still eliminated from the World Cup after three straight losses in Group A.
But in the fifth minute of second-half injury-time, Al-Dawsari popped up in the box to beat El Hadary with the last kick of the match and secure a famous Saudi win.
But Saudi Arabia scored deep into stoppage time in both halves, with Salem Al-Dawsari's last-gasp victor securing their first World Cup victory since a run to the last 16 in 1994.
"We want to apologise to all the Egyptian fans, who came to support us here in the three matches", he said after the match, according to beIN SPORTS.
Last season Salah became an global star - ranked alongside the likes of Cristiano Ronaldo, Lionel Messi and Neymar Jr. - due to his goalscoring feats for Liverpool, who he helped reach the Champions League final.