A video also emerged on social media following the Community Shield that showed Batshuayi laughing, with suggestions that he enjoyed Morata's penalty miss.
It wasn't the best start to his Chelsea career for £58m striker Alvaro Morata has he missed a crucial penalty at Wembley in the Community Shield against Arsenal on Sunday.
The Blues were beaten 4-1 as the Gunners lifted the traditional curtain-raiser trophy for a 14th time and for the third time in four seasons.
Morata didn't start at Wembley, replacing Michy Batshuayi on 74 minutes before fluffing his lines in the shoot out which used the ABBA format.
Some Chelsea fans tweeted their hope that the Blues decide not to sell Diego Costa this summer.
Chelsea better keep hold of Diego Costa— 𝖙𝖔𝖒𝖎𝖉𝖊 (@aM_tomiDe) August 6, 2017
If we aren't buying any new players we need to keep Costa. Conte will get sacked and then at least we'll have idolo ready to fire— Adi (@Illumin_Adi) August 7, 2017
A video also emerged on social media following the match that showed Batshuayi laughing with suggestions that he enjoyed Morata's penalty miss.
However, it seems that this was not the case as Batshuayi had been substituted so would not have been on the pitch during the penalty shoot out.
Furthermore, in the clip, there are a number of empty seats behind Batshuayi suggesting that the video comes after the conclusion of the shoot-out. The crowd at Wembley on Sunday was 83,325 so there would be have been a big bank of empty seats behind the Chelsea team.
Batshuayi tweeted that he was not laughing at Morata saying: "Wow lol some people really believe I laughed at my teammate and/or us losing?. Sorry to disappoint but I wasn't."
Chelsea kick off their Premier League season on Saturday at home to Burnley before returning to Wembley to take on Tottenham.