Watford have reportedly named their price for the Czech Republic international, who impressed at Hillsborough last season.
Pudil is highly rated at Hillsborough
The Czech Republic left-back, who was an unused substitute in Monday's Euros defeat to Spain, played 39 times for the Owls - scoring two goals and assisting a further four to help Carlos Carvalhal's side to the Championship play-off final.
The 30-year-old is in Czech Republic's squad for Euro 2016
However, with only a year to run on his Vicarage Road contract - not to mention a 31st birthday looming - the alleged asking price has prompted a few raised eyebrows up in South Yorkshire.
Not everyone is concerned though, with some keen to tie down one of last season's star performers regardless of his hefty fee - remembering, presumably, that their chairman's family controls Thai Union Frozen, the the world's largest producer of canned tuna.
Owls chairman Dejphon Chansiri
This is what Twitter had to say... But which camp are you in?
£2m for Pudil? Is that sum made up of a £200k transfer fee and a £1.8m undercharge on the sale of Forestieri? #swfc— Charles Hoyland (@baggleyowl) 14 June 2016
Pudil a minimum 7/10 performer every game with little help on the left hand side. If there's a better £2 million full back who is he #swfc— Wincobank Owl (@stevenowls) 14 June 2016
Pudil best LB since 90's at #swfc but i'm afraid Chansiri won't pay £2m for a 31yr old LB,nor would i. However all selling clubs start high!— Mark Hope (@owls_4life) 14 June 2016
After witnessing many poor left backs from Beswetherick to Dielna I'd say Pudil is worth every penny of a £2 million fee #swfc— Wincobank Owl (@stevenowls) 14 June 2016
Imagine selling Forestieri for £3m and wanting £2m for Pudil @WatfordFC— Heimlich. (@DSapeyOwl) 14 June 2016
Think Pudil is a great solid player & replacing him with someone else will always be a gamble that might not pay off....but £2m seems steep!— Stephen Bedford (@LoxleyOwl) 14 June 2016
Like pudil but 31 and 1 year left on his contract it's to much money. Id rather spend abit more on some1 younger who as good or better #swfc— Danny Booth (@owlzmadboothy) 14 June 2016
Pudil's departure leaves Jeremy Helan as the Owls' only recognised left-back heading into the summer transfer window, with another loanee, Joe Bennett, returning to Aston Villa after six months in Yorkshire.
Bennett (L) competes with ex-Brighton striker Bobby Zamora