Selling Van Persie was always Gunner hurt
The Gunners parted company with Van Persie in August and have seen the talismanic Holland international bang in 23 goals in all competitions since joining Manchester United.
While the Dutchman is on the verge of winning the Premier League title with United, his old team-mates are battling against Chelsea and North London rivals Tottenham for a place in the top four.
And Seaman doubts the Gunners would be in danger of missing out on European footballs top competition had former skipper RVP not been allowed to leave.
He told SunSport: Its difficult when you sell your best players because its going to be hard for the team. When youre selling captains and players like that, its difficult.
That would never have happened [in the past]. Arsenal would never have sold their best players to Manchester United.
But it did happen and weve just got to get on with it.
"Where do we go from here Well, were a very successful business but we want to be successful on the pitch and at the moment that doesnt look like its going to happen.
While many Arsenal supporters turned on Van Persie following his switch to Old Trafford, Seaman remains a fan of the striker who netted in United's 2-1 win over the Gunners in November.
And he claims it is not all doom and gloom for the club he enjoyed so much success with.
The Arsenal legend added: Theyve hit form recently, which is a good sign because the pressure is on now and theyve got to get fourth place.
For me, I like watching Van Persie hes a great player and a great finisher.
But for the Arsenal fans, I imagine it must be destroying because they want him to have their shirt on and not Manchester Uniteds.
It remains unclear whether Arsene Wenger has money at his disposal or is simply reluctant to splash the cash in pursuit of the games best players.
But Seaman, 49, disagrees with calls for the long-serving Frenchman to be replaced.
He said: Spending the cash and maybe having a look at the wage structure is needed because youve got to be attracting the best players.
People say about replacing Arsene, but no way, not for me. Hes the best.
If he left Arsenal, a big, big club would snap him up straight away. It would be a loss to Arsenal.
Im sure the fans would regret it because what would change Arsenes a great coach, a great manager.
Has he got the money to spend We dont know.
"If a new manager came in and suddenly hes got money to spend, why wouldnt they give it to Arsene There a lot of questions that need answering.