Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
"Thiago, thank you for eight years of unforgettable memories, leadership and commitment. You are one of the greats and your legendary status at PSG will live forever," PSG president Nasser Al-Khelaifi said in a club statement.
"My very best wishes to you and your family for your new adventures, you will always be part of our family and our history, Merci Captain."
Silva, 35, underwent a medical in London on Thursday and is expected to sign a two-year deal with Chelsea, according to reports in Britain.
The Brazil centre-back enjoyed eight trophy-laden years with the French champions, winning the Ligue 1 title seven times and five French Cups while making 315 appearances for PSG.
Silva could become the latest signing for Chelsea in a busy close season that has seen the arrivals of Timo Werner, Hakim Ziyech, Ben Chilwell and Malang Sarr. The Blues are also interested in Bayer Leverkusen rising star Kai Havertz.
Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
The oil and gas conglomerate and Fifa, the world governing body, sign major sponsorship agreement
Toomaj Salehi risks being hanged after the conviction on the Shariah charge of "corruption on Earth" by a Revolutionary Court
Aid groups warn any invasion would add to already-catastrophic conditions for Gaza's 2.4 million people
The American they will face Australia and Serbia on July 15 and July 17 as part of their preparation for the Paris Olympic Games
The leaders emphasise that the deal to release the hostages would bring an immediate and prolonged ceasefire in Gaza
Dubai-based Sumit Augustine has had a philosophical approach towards spending
The regional upswing also defies oil production cutbacks