See this thread. it may help to answer ur query
Discussion 50080

Quran tells us only the knowledge which is required for our test of life therefore, nothing specific about animals has been mentioned. However, Quran does give us a picture of Jannah and with that, some principle statements regarding Jannah:

إِنَّ الَّذِيْنَ قَالُوْا رَبُّنَا اللَّهُ ثُمَّ اسْتَقَامُوْا تَتَنَزَّلُ عَلَيْهِمُ الْمَلَائِكَةُ أَلَّا تَخَافُوْا وَلَا تَحْزَنُوْا وَأَبْشِرُوْا بِالْجَنَّةِ الَّتِیْ كُنْتُمْ تُوعَدُوْنَ. نَحْنُ أَوْلِيَاؤُكُمْ فِی الْحَيَاةِ الدُّنْيَا وَفِی الْآخِرَةِ وَلَكُمْ فِيْهَا مَا تَشْتَهِیْ أَنْفُسُكُمْ وَلَكُمْ فِيهَا مَا تَدَّعُونَ. نُزُلًا مِّنْ غَفُوْرٍ رَّحِيْمٍ.

On the contrary, those who acknowledged: “God is our Lord,” then remained steadfast on it [disregarding all opposition,] angels will surely descend on them [for their assurance on the Day of Judgement before the verdict is passed] and say: “Now, neither show any fear nor sorrow and accept the glad tidings of the Paradise that you used to be promised. We remained your companions in the life of the world and are also your companions in the life of the Hereafter. [The paradise whose glad tidings We are giving you] has everything in it which your heart will desire and has everything that you demand – as a means of entertainment for you from Him, Who is very forgiving; ever-merciful. (Quran 41:30-32)

(Excerpt from Quranic Exegesis: Javed Ahmed Ghamidi)

(Translated by Dr. Shehzad Saleem)

Based on this verse, we can hope that having our pet back in Jannah is quite a possibility.

To know more about Jannah and life in it in the light of Quran, you can refer to the following thread:

Discussion 38044