"Three or four managers are on the list and I am one of them. It would be hard to refuse Chelsea," Deschamps told RMC radio station.
The former World Cup champion with France has been out of action since leading Juventus to the Serie A in 2006-2007.
However, Deschamps is willing to resume his coaching career, stressing that the Chelsea bench would suit him.
"I want to return to coaching. I needed to rest, but I feel capable of achieving good things now," he added.
"Breaking back into management is complicated because there are not always the opportunities, but the Chelsea position is now free. I am flattered to be considered a possible candidate for the role.
"They sacked their manager not because of the results they achieved, but because of their wish to play a more attacking, attractive style of football in the next few years.
"They are a very big club, that I know well. We will see over the next few days how it goes but any big-name manager who is available would interest them."
Since Grant's sacking last weekend, a number of names were mentioned as possible replacements, including Frank Rijkaard, Roberto Mancini and Guus Hiddink.
نرشح لكم
المنطق انتصر.. بولونيا يقصي إنتر من السوبر ويضرب موعدا مع نابولي في النهائي
مكتوميناي: من السهل إلقاء اللوم على مانشستر يونايتد لعدم تألقي
خطيئة إيطالية كبرى تتسبب في توضيح من سباليتي بشأن عزل ديفيد
بعد غياب أكثر من 550 يوما.. ميليك ينضم لقائمة يوفنتوس ضد روما
في الجول يكشف تفاصيل مفاوضات برشلونة مع الأهلي لضم حمزة عبد الكريم
مؤتمر ألونسو: لا أعاني في المؤتمرات الصحفية.. ووضعي جيد مع النادي
مؤتمر أرتيتا: خصائص ميرينو مختلفة عن جيوكيريس.. وجابرييل يقترب من العودة
"لا أستطيع تفسير ذلك".. باريس سان جيرمان يعلن إصابة سافونوف بكسر في اليد











