Szczesny was axed for the Champions League game against Bayern Munich last week, with Wenger claiming the 22-year-old had been "mentally affected" by the number of games played.
The Poland international was then put on the bench for the Barclays Premier League win at Swansea, where Lukasz Fabianski kept a second consecutive clean sheet.
Szczesny has joined up with the Poland squad ahead of their World Cup Group H qualifiers against Ukraine and San Marino, but Southampton keeper Artur Boruc is expected to be first choice, with Brighton's Tomasz Kuszczak providing support.
Maciej Szczesny - who was also a former Poland international, winning seven caps, and who helped Legia Warsaw reach the quarter-finals of the 1995-96 Champions League - feels Wenger needs to look at how he handled his son, who has been hampered by a series of niggling injury problems.
In an interview with Poland's leading sport daily paper Przeglad Sportowy, the senior Szczesny said: "Wenger already started to look for the scapegoat. It is not the way the boss should behave.
"Wojciech has had two serious injuries. He played with one in April and May (last year). He shouldn't have agreed to play that time, but the coach insisted.
"Wojciech did not train the whole week and then a warm up on Friday and played the match on Saturday. He was naturally more susceptible to minor injuries and his form was going down.
"Wenger was playing with the young man's good health and Wojciech agreed foolishly.
"In my opinion Mr Wenger messed up a lot in April and May. I don't blame the young man who went along with his coach, his current lack of form is a result of those two months.
"Then in August there was a foot (ankle) injury after which he played almost instantly.
"After seven weeks out Wojciech trained for just seven days and played the match. How on earth can he be on his highest form?"
Despite taking Szczesny out of the firing line and warning no-one can be guaranteed of a place in the team - not even captain Thomas Vermaelen - Wenger has said Szczesny is part of his long-term plans, having brought the youngster through the Arsenal Academy after signing from hometown side Legia Warsaw in 2006.
Szczesny Snr is confident his son will soon establish himself as the Arsenal number one again.
"This last period has not been successful for Wojciech, the fact that Arsene Wenger did not take him to Munich shows something," Maciej Szczesny added.
"However, I think my son can be the number one (Arsenal) keeper over 10 years, he just needs to come back to form and then a situation where we can stop to wonder who will stand between the posts."
Szczesny, meanwhile, insists he has no intentions of leaving Arsenal for "as long as they want me".
The goalkeeper feels Wenger's faith in youth will eventually pay off.
Speaking in an interview with the Poland Football Association website, www.pzpn.pl, Szczesny said: "The club policy is often criticised because it is about young players being raised up there, some would prefer buying mature ones.
"I cannot say, even if I would like to, anything bad about (that) because I am one of those young players who was raised by Arsene Wenger."