The Gunners head into the game on the back of their disappointing Europa League defeat by Atletico Madrid on Thursday night as they were dumped out of the competition in the semi-finals.
The result means that Arsenal will have to settle for another season without Champions League football next term after they failed to finish in the top four for the second campaign running.
Wenger announced last month that he will be stepping down as Arsenal manager at the end of the season after nearly 22 years in charge at the club.
The Gunners will host Burnley in their final Premier League home game of the season on Sunday as they look to try and end the campaign on a high.
And Lawrenson is not expecting the Gunners to have any trouble against the Clarets ahead of Wenger stepping down.
Speaking to BBC Sport, Lawrenson said: “This is Arsene Wenger’s last home game as Arsenal boss and I am sure he will get the fantastic send-off he deserves after 22 years in charge.
“I am not being funny but if you are a Gunners fan and you go to this game and you boo him then there is something wrong with you.
“Everyone is entitled to moan, I get that, and I understand why some of them wanted him out.
“But if you consider what he has done for that football club then doing anything remotely negative on Sunday would be absolutely pathetic.
“We know Burnley will make things difficult for them but I think Wenger will sign off with a win too. They have had some poor results this season but their home record has been pretty good.”
Arsenal have not won the Premier League title since their famous unbeaten triumph in the 2003-04 campaign.
The north London side finished in fifth place in the Premier League table last term as they had to settle for a place in the Europa League.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news